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Square Root Calculator
Find the square root — or any other root — of a number, with instant reference values.
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How to Use This Calculator
Enter a number and pick the root degree. The square root of 144 is 12 because 12 × 12 = 144. The cube root of 27 is 3 because 3 × 3 × 3 = 27.
Frequently Asked Questions
What is a perfect square?
A number whose square root is a whole number, like 4, 9, 16, 25, 144. Perfect squares have integer roots.
Why can't I take the square root of a negative number?
No real number squares to a negative value. The answer lives in the imaginary numbers, which this calculator doesn't cover.
What is the difference between a root and a power?
They're inverse operations. x² squares x; √x undoes it. A root of degree n undoes raising to the nth power.
How do roots relate to exponents?
An nth root equals the power 1/n: ³√8 = 8^(1/3) = 2.
Practical Example
Some roots to try:
- √144 = 12 (perfect square)
- √50 = 5√2 ≈ 7.07 (simplified form shown)
- ³√27 = 3
What Your Results Mean
- Perfect-square root — an exact integer, like √144 = 12.
- Simplified root — the exact form with square factors pulled out (5√2).
- Decimal — the approximate value for measurement and calculation.
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