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What is the Square Root of 13402?

The square root of 13402 is 115.7670073898. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13402 = 115.7670073898
CalculatedNon-perfect squareIrrational
Exact form√13402
Perfect squareNo
Number typeIrrational
Verification115.76700738982 ≈ 13402

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How the answer is calculated

We solve x2 = 13402. The resulting value is x = 115.7670073898.

Verification: 115.76700738982 ≈ 13402.

Simplified radical form

The square root of 13402 in simplified radical form is √13402.

There are no square factors that can be taken outside the radical, so √13402 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13399115.7540496052
√13400115.7583690279
√13401115.7626882894
√13402115.7670073898
√13403115.7713263291
√13404115.7756451073
√13405115.7799637243

Number properties

Is 13402 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13402 is irrational because 13402 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 13402.