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What is the Square Root of 964?

The square root of 964 is 31.0483493925. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√964 = 31.0483493925
CalculatedNon-perfect squareIrrational
Exact form√964
Perfect squareNo
Number typeIrrational
Verification31.04834939252 ≈ 964

On this page

How the answer is calculated

We solve x2 = 964. The resulting value is x = 31.0483493925.

Verification: 31.04834939252 ≈ 964.

Simplified radical form

The square root of 964 in simplified radical form is 2√241.

This is equivalent to √964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√96131
√96231.0161248385
√96331.0322412984
√96431.0483493925
√96531.064449134
√96631.0805405358
√96731.0966236109

Number properties

Is 964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√964 is irrational because 964 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 964.