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What is the Square Root of 251?

The square root of 251 is 15.8429795178. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√251 = 15.8429795178
CalculatedNon-perfect squareIrrational
Exact form√251
Perfect squareNo
Number typeIrrational
Verification15.84297951782 ≈ 251

On this page

How the answer is calculated

We solve x2 = 251. The resulting value is x = 15.8429795178.

Verification: 15.84297951782 ≈ 251.

Simplified radical form

The square root of 251 in simplified radical form is √251.

There are no square factors that can be taken outside the radical, so √251 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15225
Upper or equal16256

Nearby square roots

NumberSquare root
√24815.748015748
√24915.7797338381
√25015.8113883008
√25115.8429795178
√25215.8745078664
√25315.9059737206
√25415.9373774505

Number properties

Is 251 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√251 is irrational because 251 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 251.