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What is the Square Root of 24964?

The square root of 24964 is 158. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√24964 = 158
ExactPerfect squareRational
Exact form158
Perfect squareYes
Number typeRational
Verification1582 ≈ 24964

On this page

How the answer is calculated

We solve x2 = 24964. The resulting value is x = 158.

Verification: 1582 ≈ 24964.

Simplified radical form

The square root of 24964 in simplified radical form is 158.

There are no square factors that can be taken outside the radical, so 158 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15824964
Upper or equal15824964

Nearby square roots

NumberSquare root
√24961157.9905060439
√24962157.9936707593
√24963157.9968354113
√24964158
√24965158.0031645253
√24966158.0063289872
√24967158.0094933857

Number properties

Is 24964 a perfect square?

Yes. Its square root is the whole number 158.

Is the square root rational or irrational?

158 is rational because it is a whole number.

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 24964.