What is the Square Root of 957?

The square root of 957 is 30.9354165965. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√957 = 30.9354165965
CalculatedNon-perfect squareIrrational
Exact form√957
Perfect squareNo
Number typeIrrational
Verification30.93541659652 ≈ 957

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How the answer is calculated

We solve x2 = 957. The resulting value is x = 30.9354165965.

Verification: 30.93541659652 ≈ 957.

Simplified radical form

The square root of 957 in simplified radical form is √957.

There are no square factors that can be taken outside the radical, so √957 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal30900
Upper or equal31961

Nearby square roots

NumberSquare root
√95430.886890423
√95530.9030742807
√95630.9192496675
√95730.9354165965
√95830.9515750811
√95930.9677251344
√96030.9838667697

Number properties

Is 957 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√957 is irrational because 957 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 957.