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What is the Square Root of 13409?

The square root of 13409 is 115.7972365819. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13409 = 115.7972365819
CalculatedNon-perfect squareIrrational
Exact form√13409
Perfect squareNo
Number typeIrrational
Verification115.79723658192 ≈ 13409

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How the answer is calculated

We solve x2 = 13409. The resulting value is x = 115.7972365819.

Verification: 115.79723658192 ≈ 13409.

Simplified radical form

The square root of 13409 in simplified radical form is √13409.

There are no square factors that can be taken outside the radical, so √13409 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13406115.7842821803
√13407115.7886004752
√13408115.792918609
√13409115.7972365819
√13410115.8015543937
√13411115.8058720446
√13412115.8101895344

Number properties

Is 13409 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13409 is irrational because 13409 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 13409.