Importing the math module only happens once, and you probably won't get much faster than the math module. There is also an older Stackoverflow question regarding Which is faster in Python: x**.5 or math.sqrt(x)?. It is not clear which method is faster.
Maybe take a look at NumPy and SciPy, not necessarily for the sqrt but if you're doing some heavy calculations they could be handy.
Answer from Mad Scientist on Stack Overflow Top answer 1 of 11
33
Importing the math module only happens once, and you probably won't get much faster than the math module. There is also an older Stackoverflow question regarding Which is faster in Python: x**.5 or math.sqrt(x)?. It is not clear which method is faster.
Maybe take a look at NumPy and SciPy, not necessarily for the sqrt but if you're doing some heavy calculations they could be handy.
2 of 11
12
I'd think the math library would likely be as fast as anything you could write yourself. But if you want to write your own, here's one algorithm. I don't know Python, so I'll just write some pseudo-code.
function sqrt(x)
lastGuess=x/2
loop
guess=(lastGuess+x/lastGuess)/2
if abs(guess-lastGuess)<.000001 // or whatever threshold you want
exit loop
lastGuess=guess
return guess
and the pseudocode translated to Python:
def sqrt(x):
last_guess= x/2.0
while True:
guess= (last_guess + x/last_guess)/2
if abs(guess - last_guess) < .000001: # example threshold
return guess
last_guess= guess
Real Python
realpython.com › python-square-root-function
The Python Square Root Function – Real Python
November 3, 2024 - Yes, you can calculate the square root without importing the math module by using the exponent operator ** or the built-in pow() function. For example, 4**0.5 will return 2.0, giving you the same result as math.sqrt(). ... Get a short & sweet ...
sqrt without calculator
since using a for loop can only check the integer roots Finding integer roots seems like all you need if you are looking for the floor of the square root. If you start at zero, and check every integer for i*i >= x, the first i for which that would be true would be the ceiling of the square root. Then you just need to decide if x is a perfect square (return i), or not (return i - 1). For example, if you are looking for sqrt(10), i*i >= 10 becomes true when i is 4. Because i*i is not actually equal to 10 (because 10 is not a perfect square), you know that the floor of the square root is 3. If you want to get more efficient and mathy, you could use Newton's method. You are looking for x such that x2 = a. Another way of saying this is that you are looking for x such that f(x) = x2 - a is zero. The derivative of this is f'(x) = 2*x. Now Newton's method tells us to just repeatedly execute: x = x - f(x) / f'(x) This should converge on the square root. More on reddit.com
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June 15, 2021How to find square root accurately
Hi I am trying to find the square root of 34,005,370,812,130,263,200. However Python is giving the wrong answer. The correct answer is 5,831,412,420.0000005830491406059734, but Python gives 5,831,412,420 and no decimal points. How can I resole this ? More on discuss.python.org
0
August 23, 2025Is there any down sides of using n**0.5 instead of math.squared(n) ? Besides readability?
In case anyone wonders, OP means math.sqrt() and not math.squared() My guess would be that math.sqrt is faster since it is in a math library, but I have not tested it. You could make a little piece of code that checks the time taken for a bunch of each calculation to see. More on reddit.com
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March 18, 2024What's the better way of taking the square root of a number?
Test it! Run a loop of a 100 numbers, trying both methods and storing the results in a Dataframe. Test to see if the result is equal whilst you loop. You could even time each method to see if one is marginally more efficient than the other More on reddit.com
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December 25, 2022Videos
How to Find Square Root of a Number in Python
04:11
How to Find Square Root of a Number in Python - YouTube
08:04
Using Square Root in Python - YouTube
How to Calculate the Square Root of a Number Manually ...
00:58
Python sqrt() function | math module | mathematical functions - ...
LearnDataSci
learndatasci.com › solutions › python-square-root
Python Square Root: Real and Complex – LearnDataSci
Using ** isn't the only way, or most accurate way, to calculate the square root in Python. We'll look at how you can calculate the square root of a value using exponentiation, along with the math and numpy sqrt() functions, and also consider the advantages of each option.
Sololearn
sololearn.com › en › Discuss › 2228331 › how-can-we-calculate-square-root-without-using-any-builtin-function-in-python
How can we calculate square root without using any built-in function in python? | Sololearn: Learn to code for FREE!
I see two main reasons to avoid that: when you need more precision than the rest significant digits that math.sqrt and one-half power provide, or you are working with large integers and you want an exact answer for the integer part of the square root. ... Try this new method without using sqrt() and pow() num = float(input("Enter num: ")) a = 1.0 while(1): b = a*a if num-0.1 < b < num+0.1 : break else: pass a = a + 0.01 print("\n Square root value is: ",round(a,2)) Hope its helpful
TutorialsPoint
tutorialspoint.com › how-to-perform-square-root-without-using-math-module-in-python
How to perform square root without using math module in Python?
Without using the math module, the simplest approach to find the square root of a number in Python is to use the built-in exponential operator ** (It is an exponent operator because it calculates the power of the first operand to the power of the second operand).
Python.org
discuss.python.org › python help
How would I find the closest perfect square to a number, without using sqrt? - Page 2 - Python Help - Discussions on Python.org
March 5, 2024 - One more, only two additions per square: def closest_square(n): j = mid = 0 while n > mid: j += 2 mid += j return mid - j//2
Unstop
unstop.com › home › blog › python program to find the square root (8 methods with codes)
Python Program To Find The Square Root (8 Methods With Codes) // Unstop
February 4, 2025 - In the main part, we call the square_root() function with an argument of 9 inside a print() function. The function calculates the square root of 9 using binary search and prints the result to the console.
Codedamn
codedamn.com › news › python
How to calculate square root in Python (with examples)
March 18, 2024 - Calculating square roots is a fundamental operation in many areas of mathematics, science, and engineering. In Python, performing this operation is straightforward thanks to the built-in libraries that Python offers. This functionality is particularly beneficial for beginners and seasoned ...
Scaler
scaler.com › home › topics › calculate square root in python
How to Find Square Roots in Python? - Scaler Topics
February 26, 2024 - Passing a negative number as a parameter will cause a math domain error because a complex number is not supported in Python. The square root function in Python returns a float type value for every kind of non-negative number passed as its parameter.
Reddit
reddit.com › r/learnprogramming › sqrt without calculator
r/learnprogramming on Reddit: sqrt without calculator
June 15, 2021 -
In python, I am tasked with finding the floor square root of a number without using any built-in operators or functions. I have no idea how to start this, since using a for loop can only check the integer roots.
ex.
in : 8 out : 2 exp: sqrt(8) = 2.82842..., but floor(2.82842..) = 2
Top answer 1 of 5
4
since using a for loop can only check the integer roots Finding integer roots seems like all you need if you are looking for the floor of the square root. If you start at zero, and check every integer for i*i >= x, the first i for which that would be true would be the ceiling of the square root. Then you just need to decide if x is a perfect square (return i), or not (return i - 1). For example, if you are looking for sqrt(10), i*i >= 10 becomes true when i is 4. Because i*i is not actually equal to 10 (because 10 is not a perfect square), you know that the floor of the square root is 3. If you want to get more efficient and mathy, you could use Newton's method. You are looking for x such that x2 = a. Another way of saying this is that you are looking for x such that f(x) = x2 - a is zero. The derivative of this is f'(x) = 2*x. Now Newton's method tells us to just repeatedly execute: x = x - f(x) / f'(x) This should converge on the square root.
2 of 5
1
I have no idea how to start this, since using a for loop can only check the integer roots. Can you explain this sentence please?
GeeksforGeeks
geeksforgeeks.org › dsa › square-root-of-a-number-without-using-sqrt-function
Square root of a number without using sqrt() function - GeeksforGeeks
March 30, 2023 - Now we know square root of n lies in the interval i - 1 and i and we can use Binary Search algorithm to find the square root. Find mid of i - 1 and i and compare mid * mid with n, with precision upto 5 decimal places. If mid * mid = n then return mid. If mid * mid < n then recur for the second half. If mid * mid > n then recur for the first half. Below is the implementation of the above approach: ... // C implementation of the approach #include<stdio.h> #include<math.h> #include <stdbool.h> // Recursive function that returns square root // of a number with precision upto 5 decimal places doubl
Naukri
naukri.com › code360 › library › square-root-function-in-python
How to Compute Square Roots in Python
August 28, 2025 - Almost there... just a few more seconds
Upgrad
upgrad.com › home › blog › artificial intelligence › how to find square root in python: techniques explained
How to Find Square Root in Python: A Beginner's Guide
October 13, 2025 - The ** operator is Python's standard operator for raising a number to a power. It's concise, readable, and a favorite among many developers for its simplicity. ... This works just like math.sqrt() but without the need for an import statement.
Towards Data Science
towardsdatascience.com › home › latest › python square roots: 5 ways to take square roots in python
Python Square Roots: 5 Ways to Take Square Roots in Python | Towards Data Science
November 26, 2024 - You now know 5 different ways to calculate Python square roots. In practice, you only need one, but it can’t hurt to know a couple of alternatives. You can use the built-in math module, opt for numpy, or use the exponent operator and avoid libraries altogether. All approaches work, and the choice is up to you. Stay tuned to the blog if you want to learn more basic Python concepts. Thanks for reading! Loved the article? Become a Medium member to continue learning without limits.
Python.org
discuss.python.org › python help
How to find square root accurately - Python Help - Discussions on Python.org
August 23, 2025 - Hi I am trying to find the square root of 34,005,370,812,130,263,200. However Python is giving the wrong answer. The correct answer is 5,831,412,420.0000005830491406059734, but Python gives 5,831,412,420 and no decimal p…
TradingCode
tradingcode.net › python › math › square-root
How to calculate the square root in Python? - Math
So, in other words, 3 squared is 9, and so the square root of 9 is 3. See square values in Python for more. Another way to calculate the square root is with the math.isqrt() function.
LeetCode
leetcode.com › problems › sqrtx
Sqrt(x) - LeetCode
Can you solve this real interview question? Sqrt(x) - Given a non-negative integer x, return the square root of x rounded down to the nearest integer. The returned integer should be non-negative as well.
Script Everything
scripteverything.com › posts › square root in python without importing math library
Square Root In Python Without Importing Math Library | Script Everything
January 14, 2022 - How do you find the square root of a number in Python? Can you find the square root without needing to import the math library? The most common approach in calculating the square root of a number in Python is to import the math library and use the method math.sqrt(n) where n is the number you ...
Facebook
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Any suggestion for a Python function to calculate square ...
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