What is the Square Root of 8325?

The square root of 8325 is 91.2414379545. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8325 = 91.2414379545
CalculatedNon-perfect squareIrrational
Exact form√8325
Perfect squareNo
Number typeIrrational
Verification91.24143795452 ≈ 8325

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How the answer is calculated

We solve x2 = 8325. The resulting value is x = 91.2414379545.

Verification: 91.24143795452 ≈ 8325.

Simplified radical form

The square root of 8325 in simplified radical form is 15√37.

This is equivalent to √8325, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal918281
Upper or equal928464

Nearby square roots

NumberSquare root
√832291.2249965744
√832391.2304773637
√832491.2359578237
√832591.2414379545
√832691.2469177562
√832791.2523972288
√832891.2578763724

Number properties

Is 8325 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8325 is irrational because 8325 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 8325.