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What is the Square Root of 4008?

The square root of 4008 is 63.3087671654. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4008 = 63.3087671654
CalculatedNon-perfect squareIrrational
Exact form√4008
Perfect squareNo
Number typeIrrational
Verification63.30876716542 ≈ 4008

On this page

How the answer is calculated

We solve x2 = 4008. The resulting value is x = 63.3087671654.

Verification: 63.30876716542 ≈ 4008.

Simplified radical form

The square root of 4008 in simplified radical form is 2√1002.

This is equivalent to √4008, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal633969
Upper or equal644096

Nearby square roots

NumberSquare root
√400563.2850693292
√400663.2929695938
√400763.3008688724
√400863.3087671654
√400963.3166644731
√401063.324560796
√401163.3324561343

Number properties

Is 4008 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4008 is irrational because 4008 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 4008.