Square Root Calculator
Find the square root, cube root or any nth root of a number. The calculator also tells you whether your number is a perfect square.
Enter your values
Result
How to use
Step-by-step guide for this tool
View steps ⟶Related tools
More calculators like this one
Browse ⟶Save result
Copy, share or print your result
Save ⟶How to use the Square Root Calculator
- 1Enter number in the form on the left.
- 2Fill in the remaining fields — the result updates automatically as you type.
- 3Review the highlighted result and the supporting breakdown on the right.
- 4Use Copy, Share or Print to save or send your result.
Roots and how to estimate them
The square root of x is the number that multiplied by itself gives x. Perfect squares (1, 4, 9, 16, 25 …) have whole-number roots; everything else is irrational. To estimate mentally, bracket between known squares: √50 lies between √49 = 7 and √64 = 8, much closer to 7.
Odd roots of negative numbers are real (∛−27 = −3), but even roots of negatives are not — they require imaginary numbers.
Frequently Asked Questions
▸Why can't I take the square root of a negative number?
No real number squared gives a negative result. Mathematics extends to imaginary numbers (√−1 = i) to handle these cases.
▸How do I calculate a cube root?
Enter 3 in the root field, or raise the number to the power 1/3. ∛64 = 4 because 4 × 4 × 4 = 64.