What is the Square Root of 96?

The square root of 96 is 9.7979589711. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√96 = 9.7979589711
CalculatedNon-perfect squareIrrational
Exact form√96
Perfect squareNo
Number typeIrrational
Verification9.79795897112 ≈ 96

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How the answer is calculated

We solve x2 = 96. The resulting value is x = 9.7979589711.

Verification: 9.79795897112 ≈ 96.

Simplified radical form

The square root of 96 in simplified radical form is 4√6.

This is equivalent to √96, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal981
Upper or equal10100

Nearby square roots

NumberSquare root
√939.643650761
√949.6953597148
√959.7467943448
√969.7979589711
√979.8488578018
√989.8994949366
√999.9498743711

Number properties

Is 96 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√96 is irrational because 96 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 96.