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What is the Square Root of 13427?

The square root of 13427 is 115.8749325782. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13427 = 115.8749325782
CalculatedNon-perfect squareIrrational
Exact form√13427
Perfect squareNo
Number typeIrrational
Verification115.87493257822 ≈ 13427

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How the answer is calculated

We solve x2 = 13427. The resulting value is x = 115.8749325782.

Verification: 115.87493257822 ≈ 13427.

Simplified radical form

The square root of 13427 in simplified radical form is √13427.

There are no square factors that can be taken outside the radical, so √13427 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13424115.8619868637
√13425115.8663022626
√13426115.8706175007
√13427115.8749325782
√13428115.879247495
√13429115.8835622511
√13430115.8878768465

Number properties

Is 13427 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13427 is irrational because 13427 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 13427.