What is the Square Root of 588?

The square root of 588 is 24.248711306. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√588 = 24.248711306
CalculatedNon-perfect squareIrrational
Exact form√588
Perfect squareNo
Number typeIrrational
Verification24.2487113062 ≈ 588

On this page

How the answer is calculated

We solve x2 = 588. The resulting value is x = 24.248711306.

Verification: 24.2487113062 ≈ 588.

Simplified radical form

The square root of 588 in simplified radical form is 14√3.

This is equivalent to √588, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal24576
Upper or equal25625

Nearby square roots

NumberSquare root
√58524.1867732449
√58624.2074368738
√58724.2280828792
√58824.248711306
√58924.269322199
√59024.289915603
√59124.3104915623

Number properties

Is 588 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√588 is irrational because 588 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 588.