Square Root Calculator

Calculate square roots, cube roots, and nth roots instantly with detailed explanations

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Root index (n)

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Check if a number is a perfect square

Calculation Details

Enter a number to see detailed calculation steps and explanations.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

11² = 121

12² = 144

13² = 169

14² = 196

15² = 225

16² = 256

A square root of a number x is a value that, when multiplied by itself, gives x. The symbol √ is called a radical sign.

Perfect squares (1, 4, 9, 16, 25, 36...) have exact square roots that are whole numbers.

The cube root ∛x finds a number that when cubed (multiplied by itself three times) equals x.

The nth root finds a number that when raised to the power n equals the original number.

Simple arithmetic operations

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