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What is the Square Root of 5008?

The square root of 5008 is 70.7672240518. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5008 = 70.7672240518
CalculatedNon-perfect squareIrrational
Exact form√5008
Perfect squareNo
Number typeIrrational
Verification70.76722405182 ≈ 5008

On this page

How the answer is calculated

We solve x2 = 5008. The resulting value is x = 70.7672240518.

Verification: 70.76722405182 ≈ 5008.

Simplified radical form

The square root of 5008 in simplified radical form is 4√313.

This is equivalent to √5008, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√500570.7460246233
√500670.7530918052
√500770.7601582813
√500870.7672240518
√500970.7742891169
√501070.7813534767
√501170.7884171316

Number properties

Is 5008 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5008 is irrational because 5008 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 5008.