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What is the Square Root of 9465?

The square root of 9465 is 97.2882315596. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√9465 = 97.2882315596
CalculatedNon-perfect squareIrrational
Exact form√9465
Perfect squareNo
Number typeIrrational
Verification97.28823155962 ≈ 9465

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How the answer is calculated

We solve x2 = 9465. The resulting value is x = 97.2882315596.

Verification: 97.28823155962 ≈ 9465.

Simplified radical form

The square root of 9465 in simplified radical form is √9465.

There are no square factors that can be taken outside the radical, so √9465 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal979409
Upper or equal989604

Nearby square roots

NumberSquare root
√946297.2728122345
√946397.2779522811
√946497.2830920561
√946597.2882315596
√946697.2933707916
√946797.2985097522
√946897.3036484414

Number properties

Is 9465 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√9465 is irrational because 9465 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 9465.