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What is the Square Root of 9164?

The square root of 9164 is 95.7287835502. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√9164 = 95.7287835502
CalculatedNon-perfect squareIrrational
Exact form√9164
Perfect squareNo
Number typeIrrational
Verification95.72878355022 ≈ 9164

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How the answer is calculated

We solve x2 = 9164. The resulting value is x = 95.7287835502.

Verification: 95.72878355022 ≈ 9164.

Simplified radical form

The square root of 9164 in simplified radical form is 2√2291.

This is equivalent to √9164, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal959025
Upper or equal969216

Nearby square roots

NumberSquare root
√916195.7131129992
√916295.7183368013
√916395.7235603182
√916495.7287835502
√916595.7340064972
√916695.7392291592
√916795.7444515364

Number properties

Is 9164 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√9164 is irrational because 9164 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 9164.