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Square Root Calculator
th
Square Root
0
Perfect Root?
—
Squared (Verified)
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Quick Reference
√4
= 2
√9
= 3
√16
= 4
√25
= 5
√36
= 6
√49
= 7
√64
= 8
√100
= 10
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How to Use the Calculator
- Enter the number you want to find the root of
- Select the root type (square, cube, 4th, or custom)
- View the result and whether it's a perfect root
Root Properties
- √(a × b) = √a × √b - Product rule
- √(a/b) = √a / √b - Quotient rule
- (√a)² = a - Square and root cancel
- √a² = |a| - Always positive result
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Frequently Asked Questions
What is a square root?
The square root of a number is a value that, when multiplied by itself, gives the original number. For example, √16 = 4 because 4 × 4 = 16.
Can negative numbers have square roots?
In real numbers, no. Negative numbers have imaginary square roots. √-1 = i (imaginary unit). √-16 = 4i.
What is a perfect square?
A perfect square is a number whose square root is a whole number. Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100...
How do I calculate nth roots?
The nth root of x is x^(1/n). For example, the cube root of 27 is 27^(1/3) = 3, because 3³ = 27.