What is the Square Root of 13431?

The square root of 13431 is 115.8921912814. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13431 = 115.8921912814
CalculatedNon-perfect squareIrrational
Exact form√13431
Perfect squareNo
Number typeIrrational
Verification115.89219128142 ≈ 13431

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How the answer is calculated

We solve x2 = 13431. The resulting value is x = 115.8921912814.

Verification: 115.89219128142 ≈ 13431.

Simplified radical form

The square root of 13431 in simplified radical form is 11√111.

This is equivalent to √13431, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13428115.879247495
√13429115.8835622511
√13430115.8878768465
√13431115.8921912814
√13432115.8965055556
√13433115.9008196692
√13434115.9051336223

Number properties

Is 13431 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13431 is irrational because 13431 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 13431.