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What is the Square Root of 2008?

The square root of 2008 is 44.8107130048. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2008 = 44.8107130048
CalculatedNon-perfect squareIrrational
Exact form√2008
Perfect squareNo
Number typeIrrational
Verification44.81071300482 ≈ 2008

On this page

How the answer is calculated

We solve x2 = 2008. The resulting value is x = 44.8107130048.

Verification: 44.81071300482 ≈ 2008.

Simplified radical form

The square root of 2008 in simplified radical form is 2√502.

This is equivalent to √2008, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal441936
Upper or equal452025

Nearby square roots

NumberSquare root
√200544.7772263545
√200644.7883913531
√200744.7995535692
√200844.8107130048
√200944.821869662
√201044.8330235429
√201144.8441746496

Number properties

Is 2008 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2008 is irrational because 2008 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 2008.