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What is the Square Root of 253?

The square root of 253 is 15.9059737206. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√253 = 15.9059737206
CalculatedNon-perfect squareIrrational
Exact form√253
Perfect squareNo
Number typeIrrational
Verification15.90597372062 ≈ 253

On this page

How the answer is calculated

We solve x2 = 253. The resulting value is x = 15.9059737206.

Verification: 15.90597372062 ≈ 253.

Simplified radical form

The square root of 253 in simplified radical form is √253.

There are no square factors that can be taken outside the radical, so √253 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15225
Upper or equal16256

Nearby square roots

NumberSquare root
√25015.8113883008
√25115.8429795178
√25215.8745078664
√25315.9059737206
√25415.9373774505
√25515.9687194227
√25616

Number properties

Is 253 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√253 is irrational because 253 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 253.