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What is the Square Root of 25742?

The square root of 25742 is 160.4431363443. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25742 = 160.4431363443
CalculatedNon-perfect squareIrrational
Exact form√25742
Perfect squareNo
Number typeIrrational
Verification160.44313634432 ≈ 25742

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How the answer is calculated

We solve x2 = 25742. The resulting value is x = 160.4431363443.

Verification: 160.44313634432 ≈ 25742.

Simplified radical form

The square root of 25742 in simplified radical form is √25742.

There are no square factors that can be taken outside the radical, so √25742 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16025600
Upper or equal16125921

Nearby square roots

NumberSquare root
√25739160.4337869652
√25740160.4369034855
√25741160.4400199451
√25742160.4431363443
√25743160.4462526829
√25744160.4493689611
√25745160.4524851786

Number properties

Is 25742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25742 is irrational because 25742 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 25742.