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What is the Square Root of 9264?

The square root of 9264 is 96.2496753241. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√9264 = 96.2496753241
CalculatedNon-perfect squareIrrational
Exact form√9264
Perfect squareNo
Number typeIrrational
Verification96.24967532412 ≈ 9264

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How the answer is calculated

We solve x2 = 9264. The resulting value is x = 96.2496753241.

Verification: 96.24967532412 ≈ 9264.

Simplified radical form

The square root of 9264 in simplified radical form is 4√579.

This is equivalent to √9264, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal969216
Upper or equal979409

Nearby square roots

NumberSquare root
√926196.2340895941
√926296.2392851179
√926396.2444803612
√926496.2496753241
√926596.2548700067
√926696.2600644089
√926796.2652585308

Number properties

Is 9264 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√9264 is irrational because 9264 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 9264.