What is the Square Root of 25321?

The square root of 25321 is 159.1257364476. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25321 = 159.1257364476
CalculatedNon-perfect squareIrrational
Exact form√25321
Perfect squareNo
Number typeIrrational
Verification159.12573644762 ≈ 25321

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How the answer is calculated

We solve x2 = 25321. The resulting value is x = 159.1257364476.

Verification: 159.12573644762 ≈ 25321.

Simplified radical form

The square root of 25321 in simplified radical form is √25321.

There are no square factors that can be taken outside the radical, so √25321 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15925281
Upper or equal16025600

Nearby square roots

NumberSquare root
√25318159.1163096606
√25319159.119451985
√25320159.1225942473
√25321159.1257364476
√25322159.1288785859
√25323159.1320206621
√25324159.1351626763

Number properties

Is 25321 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25321 is irrational because 25321 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 25321.