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What is the Square Root of 13867?

The square root of 13867 is 117.7582268888. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13867 = 117.7582268888
CalculatedNon-perfect squareIrrational
Exact form√13867
Perfect squareNo
Number typeIrrational
Verification117.75822688882 ≈ 13867

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How the answer is calculated

We solve x2 = 13867. The resulting value is x = 117.7582268888.

Verification: 117.75822688882 ≈ 13867.

Simplified radical form

The square root of 13867 in simplified radical form is 7√283.

This is equivalent to √13867, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13864117.7454882363
√13865117.7497346069
√13866117.7539808244
√13867117.7582268888
√13868117.7624728001
√13869117.7667185583
√13870117.7709641635

Number properties

Is 13867 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13867 is irrational because 13867 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 13867.