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What is the Square Root of 13013?

The square root of 13013 is 114.0745370361. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13013 = 114.0745370361
CalculatedNon-perfect squareIrrational
Exact form√13013
Perfect squareNo
Number typeIrrational
Verification114.07453703612 ≈ 13013

On this page

How the answer is calculated

We solve x2 = 13013. The resulting value is x = 114.0745370361.

Verification: 114.07453703612 ≈ 13013.

Simplified radical form

The square root of 13013 in simplified radical form is 13√77.

This is equivalent to √13013, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13010114.0613869809
√13011114.0657705011
√13012114.0701538528
√13013114.0745370361
√13014114.078920051
√13015114.0833028975
√13016114.0876855756

Number properties

Is 13013 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13013 is irrational because 13013 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 13013.