Ratio Calculator
Solve and simplify ratios.
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Square Root Calculator
Get the square root of any number, its simplified radical form and the cube root.
Square root
—
√n.
| Simplified radical | — |
|---|---|
| Perfect square? | — |
| Squared back | — |
| Cube root | — |
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Enter your figures above to see the step-by-step working.
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How the Square Root Calculator Works
The square root of a number is the value that, multiplied by itself, gives that number — √50 ≈ 7.07 because 7.07 × 7.07 ≈ 50. This calculator returns the decimal root and, when the number is a whole number, the simplified radical form (√50 = 5√2) by pulling out the largest perfect-square factor.
It also tells you whether the number is a perfect square, squares the result back as a check, and gives the cube root. Negative numbers have no real square root, so the calculator reports the imaginary result instead.
√n = the value x where x × x = n
Frequently Asked Questions
What is the square root of a number?
The value that multiplied by itself gives the number. √50 is about 7.07. Perfect squares like 49 give whole roots (7).
How do I simplify a square root?
Pull out the largest perfect-square factor. √50 = √(25 × 2) = 5√2. The calculator shows this simplified radical form.
Can you take the square root of a negative number?
Not within real numbers — the result is imaginary. √(−9) = 3i. The calculator reports this case.
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