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What is the Square Root of 5013?

The square root of 5013 is 70.8025423272. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5013 = 70.8025423272
CalculatedNon-perfect squareIrrational
Exact form√5013
Perfect squareNo
Number typeIrrational
Verification70.80254232722 ≈ 5013

On this page

How the answer is calculated

We solve x2 = 5013. The resulting value is x = 70.8025423272.

Verification: 70.80254232722 ≈ 5013.

Simplified radical form

The square root of 5013 in simplified radical form is 3√557.

This is equivalent to √5013, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√501070.7813534767
√501170.7884171316
√501270.7954800817
√501370.8025423272
√501470.8096038684
√501570.8166647054
√501670.8237248385

Number properties

Is 5013 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5013 is irrational because 5013 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 5013.