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What is the Square Root of 13007?

The square root of 13007 is 114.0482354094. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13007 = 114.0482354094
CalculatedNon-perfect squareIrrational
Exact form√13007
Perfect squareNo
Number typeIrrational
Verification114.04823540942 ≈ 13007

On this page

How the answer is calculated

We solve x2 = 13007. The resulting value is x = 114.0482354094.

Verification: 114.04823540942 ≈ 13007.

Simplified radical form

The square root of 13007 in simplified radical form is √13007.

There are no square factors that can be taken outside the radical, so √13007 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13004114.0350823212
√13005114.0394668525
√13006114.0438512152
√13007114.0482354094
√13008114.0526194351
√13009114.0570032922
√13010114.0613869809

Number properties

Is 13007 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13007 is irrational because 13007 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 13007.