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What is the Square Root of 25264?

The square root of 25264 is 158.9465318904. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25264 = 158.9465318904
CalculatedNon-perfect squareIrrational
Exact form√25264
Perfect squareNo
Number typeIrrational
Verification158.94653189042 ≈ 25264

On this page

How the answer is calculated

We solve x2 = 25264. The resulting value is x = 158.9465318904.

Verification: 158.94653189042 ≈ 25264.

Simplified radical form

The square root of 25264 in simplified radical form is 4√1579.

This is equivalent to √25264, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15824964
Upper or equal15925281

Nearby square roots

NumberSquare root
√25261158.9370944745
√25262158.9402403421
√25263158.9433861474
√25264158.9465318904
√25265158.9496775712
√25266158.9528231898
√25267158.9559687461

Number properties

Is 25264 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25264 is irrational because 25264 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 25264.