What is the Square Root of 9464?

The square root of 9464 is 97.2830920561. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√9464 = 97.2830920561
CalculatedNon-perfect squareIrrational
Exact form√9464
Perfect squareNo
Number typeIrrational
Verification97.28309205612 ≈ 9464

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How the answer is calculated

We solve x2 = 9464. The resulting value is x = 97.2830920561.

Verification: 97.28309205612 ≈ 9464.

Simplified radical form

The square root of 9464 in simplified radical form is 26√14.

This is equivalent to √9464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal979409
Upper or equal989604

Nearby square roots

NumberSquare root
√946197.2676719162
√946297.2728122345
√946397.2779522811
√946497.2830920561
√946597.2882315596
√946697.2933707916
√946797.2985097522

Number properties

Is 9464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√9464 is irrational because 9464 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 9464.