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What is the Square Root of 25289?

The square root of 25289 is 159.0251552428. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25289 = 159.0251552428
CalculatedNon-perfect squareIrrational
Exact form√25289
Perfect squareNo
Number typeIrrational
Verification159.02515524282 ≈ 25289

On this page

How the answer is calculated

We solve x2 = 25289. The resulting value is x = 159.0251552428.

Verification: 159.02515524282 ≈ 25289.

Simplified radical form

The square root of 25289 in simplified radical form is 11√209.

This is equivalent to √25289, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15925281
Upper or equal16025600

Nearby square roots

NumberSquare root
√25286159.0157224931
√25287159.0188668052
√25288159.0220110551
√25289159.0251552428
√25290159.0282993684
√25291159.0314434318
√25292159.034587433

Number properties

Is 25289 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25289 is irrational because 25289 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 25289.