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What is the Square Root of 13407?

The square root of 13407 is 115.7886004752. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13407 = 115.7886004752
CalculatedNon-perfect squareIrrational
Exact form√13407
Perfect squareNo
Number typeIrrational
Verification115.78860047522 ≈ 13407

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How the answer is calculated

We solve x2 = 13407. The resulting value is x = 115.7886004752.

Verification: 115.78860047522 ≈ 13407.

Simplified radical form

The square root of 13407 in simplified radical form is √13407.

There are no square factors that can be taken outside the radical, so √13407 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13404115.7756451073
√13405115.7799637243
√13406115.7842821803
√13407115.7886004752
√13408115.792918609
√13409115.7972365819
√13410115.8015543937

Number properties

Is 13407 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13407 is irrational because 13407 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 13407.