Square Root Calculator

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Find the square root, nth root or power of any number instantly. See the value squared, cubed, its reciprocal and whether it is a perfect square. Free and live.

For example, 3 gives the cube root.
Result –
Squared (x²) –
Cubed (x³) –
Reciprocal (1⁄x) –
Perfect square? –
The square root of a negative number is undefined for real results. Odd nth roots accept negative values. The side rows always describe the value x.

About Square Root Calculator

The square root calculator finds the square root of any number, and its two companion modes extend it: an nth-root mode for cube roots and beyond, and a power mode that raises a base to any exponent. Results update live as you type.

Alongside the main result, the tool always describes your value x with quick facts — x squared, x cubed, its reciprocal 1⁄x and whether it is a perfect square. That extra context is handy for checking work or building number sense.

Real-number rules apply: the square root of a negative number is undefined here, while odd nth roots (like the cube root) do accept negative inputs. It is free, instant and useful for algebra, geometry and everyday math.

How to use Square Root Calculator

  1. Pick the calculation: square root √x, nth root, or power xⁿ.
  2. Enter the value x (or the base, in power mode).
  3. For nth root or power, enter the degree or exponent n — 3 gives the cube root.
  4. Read the result, plus x squared, x cubed, the reciprocal and the perfect-square check.

Frequently asked questions

No real number multiplied by itself gives a negative result, so √−x has no real value — it requires imaginary numbers. This calculator works over the reals and flags such inputs as undefined.

Switch to nth-root mode and set the root degree n to 3. Cube roots accept negative values too: the cube root of −27 is −3, because (−3)³ = −27.

A whole number that is the square of another whole number — 16, 25, 144. The calculator checks your value and answers yes or no, which helps with factoring and simplifying radicals.

Yes — power mode raises x to any exponent n, including fractions and negatives. Note that x^(1/2) is the same as √x, so the modes overlap by design.

1 divided by your value x. It appears with the squared and cubed rows as a quick profile of x itself, whatever mode you are in.
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