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What is the Square Root of 13009?

The square root of 13009 is 114.0570032922. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13009 = 114.0570032922
CalculatedNon-perfect squareIrrational
Exact form√13009
Perfect squareNo
Number typeIrrational
Verification114.05700329222 ≈ 13009

On this page

How the answer is calculated

We solve x2 = 13009. The resulting value is x = 114.0570032922.

Verification: 114.05700329222 ≈ 13009.

Simplified radical form

The square root of 13009 in simplified radical form is √13009.

There are no square factors that can be taken outside the radical, so √13009 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13006114.0438512152
√13007114.0482354094
√13008114.0526194351
√13009114.0570032922
√13010114.0613869809
√13011114.0657705011
√13012114.0701538528

Number properties

Is 13009 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13009 is irrational because 13009 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 13009.