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What is the Square Root of 25409?

The square root of 25409 is 159.4020075156. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25409 = 159.4020075156
CalculatedNon-perfect squareIrrational
Exact form√25409
Perfect squareNo
Number typeIrrational
Verification159.40200751562 ≈ 25409

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How the answer is calculated

We solve x2 = 25409. The resulting value is x = 159.4020075156.

Verification: 159.40200751562 ≈ 25409.

Simplified radical form

The square root of 25409 in simplified radical form is √25409.

There are no square factors that can be taken outside the radical, so √25409 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15925281
Upper or equal16025600

Nearby square roots

NumberSquare root
√25406159.3925970677
√25407159.3957339454
√25408159.3988707614
√25409159.4020075156
√25410159.4051442081
√25411159.4082808389
√25412159.4114174079

Number properties

Is 25409 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25409 is irrational because 25409 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 25409.