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What is the Square Root of 4762?

The square root of 4762 is 69.0072459963. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4762 = 69.0072459963
CalculatedNon-perfect squareIrrational
Exact form√4762
Perfect squareNo
Number typeIrrational
Verification69.00724599632 ≈ 4762

On this page

How the answer is calculated

We solve x2 = 4762. The resulting value is x = 69.0072459963.

Verification: 69.00724599632 ≈ 4762.

Simplified radical form

The square root of 4762 in simplified radical form is √4762.

There are no square factors that can be taken outside the radical, so √4762 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal694761
Upper or equal704900

Nearby square roots

NumberSquare root
√475968.985505724
√476068.9927532426
√476169
√476269.0072459963
√476369.0144912319
√476469.0217357069
√476569.0289794217

Number properties

Is 4762 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4762 is irrational because 4762 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 4762.