What is the Square Root of 952?

The square root of 952 is 30.8544972411. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√952 = 30.8544972411
CalculatedNon-perfect squareIrrational
Exact form√952
Perfect squareNo
Number typeIrrational
Verification30.85449724112 ≈ 952

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How the answer is calculated

We solve x2 = 952. The resulting value is x = 30.8544972411.

Verification: 30.85449724112 ≈ 952.

Simplified radical form

The square root of 952 in simplified radical form is 2√238.

This is equivalent to √952, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal30900
Upper or equal31961

Nearby square roots

NumberSquare root
√94930.8058436015
√95030.8220700148
√95130.8382878902
√95230.8544972411
√95330.8706980809
√95430.886890423
√95530.9030742807

Number properties

Is 952 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√952 is irrational because 952 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 952.