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What is the Square Root of 5005?

The square root of 5005 is 70.7460246233. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5005 = 70.7460246233
CalculatedNon-perfect squareIrrational
Exact form√5005
Perfect squareNo
Number typeIrrational
Verification70.74602462332 ≈ 5005

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How the answer is calculated

We solve x2 = 5005. The resulting value is x = 70.7460246233.

Verification: 70.74602462332 ≈ 5005.

Simplified radical form

The square root of 5005 in simplified radical form is √5005.

There are no square factors that can be taken outside the radical, so √5005 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√500270.7248188403
√500370.7318881411
√500470.7389567353
√500570.7460246233
√500670.7530918052
√500770.7601582813
√500870.7672240518

Number properties

Is 5005 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5005 is irrational because 5005 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 5005.