What is the Square Root of 25464?

The square root of 25464 is 159.5744340425. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25464 = 159.5744340425
CalculatedNon-perfect squareIrrational
Exact form√25464
Perfect squareNo
Number typeIrrational
Verification159.57443404252 ≈ 25464

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How the answer is calculated

We solve x2 = 25464. The resulting value is x = 159.5744340425.

Verification: 159.57443404252 ≈ 25464.

Simplified radical form

The square root of 25464 in simplified radical form is 2√6366.

This is equivalent to √25464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15925281
Upper or equal16025600

Nearby square roots

NumberSquare root
√25461159.5650337637
√25462159.5681672515
√25463159.5713006778
√25464159.5744340425
√25465159.5775673458
√25466159.5807005875
√25467159.5838337677

Number properties

Is 25464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25464 is irrational because 25464 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 25464.