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What is the Square Root of 13887?

The square root of 13887 is 117.8431160484. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13887 = 117.8431160484
CalculatedNon-perfect squareIrrational
Exact form√13887
Perfect squareNo
Number typeIrrational
Verification117.84311604842 ≈ 13887

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How the answer is calculated

We solve x2 = 13887. The resulting value is x = 117.8431160484.

Verification: 117.84311604842 ≈ 13887.

Simplified radical form

The square root of 13887 in simplified radical form is 3√1543.

This is equivalent to √13887, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13884117.8303865732
√13885117.8346298844
√13886117.8388730428
√13887117.8431160484
√13888117.8473589012
√13889117.8516016013
√13890117.8558441487

Number properties

Is 13887 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13887 is irrational because 13887 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 13887.