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What is the Square Root of 25513?

The square root of 25513 is 159.7278936191. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25513 = 159.7278936191
CalculatedNon-perfect squareIrrational
Exact form√25513
Perfect squareNo
Number typeIrrational
Verification159.72789361912 ≈ 25513

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How the answer is calculated

We solve x2 = 25513. The resulting value is x = 159.7278936191.

Verification: 159.72789361912 ≈ 25513.

Simplified radical form

The square root of 25513 in simplified radical form is √25513.

There are no square factors that can be taken outside the radical, so √25513 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15925281
Upper or equal16025600

Nearby square roots

NumberSquare root
√25510159.7185023721
√25511159.7216328492
√25512159.7247632648
√25513159.7278936191
√25514159.7310239121
√25515159.7341541437
√25516159.737284314

Number properties

Is 25513 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25513 is irrational because 25513 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 25513.