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What is the Square Root of 13309?

The square root of 13309 is 115.3646392964. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13309 = 115.3646392964
CalculatedNon-perfect squareIrrational
Exact form√13309
Perfect squareNo
Number typeIrrational
Verification115.36463929642 ≈ 13309

On this page

How the answer is calculated

We solve x2 = 13309. The resulting value is x = 115.3646392964.

Verification: 115.36463929642 ≈ 13309.

Simplified radical form

The square root of 13309 in simplified radical form is √13309.

There are no square factors that can be taken outside the radical, so √13309 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13306115.3516363126
√13307115.3559708034
√13308115.3603051314
√13309115.3646392964
√13310115.3689732987
√13311115.3733071382
√13312115.3776408148

Number properties

Is 13309 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13309 is irrational because 13309 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 13309.