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What is the Square Root of 25823?

The square root of 25823 is 160.6953639655. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25823 = 160.6953639655
CalculatedNon-perfect squareIrrational
Exact form√25823
Perfect squareNo
Number typeIrrational
Verification160.69536396552 ≈ 25823

On this page

How the answer is calculated

We solve x2 = 25823. The resulting value is x = 160.6953639655.

Verification: 160.69536396552 ≈ 25823.

Simplified radical form

The square root of 25823 in simplified radical form is 7√527.

This is equivalent to √25823, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16025600
Upper or equal16125921

Nearby square roots

NumberSquare root
√25820160.686029262
√25821160.6891408901
√25822160.6922524579
√25823160.6953639655
√25824160.6984754128
√25825160.7015867999
√25826160.7046981267

Number properties

Is 25823 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25823 is irrational because 25823 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 25823.