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What is the Square Root of 13889?

The square root of 13889 is 117.8516016013. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13889 = 117.8516016013
CalculatedNon-perfect squareIrrational
Exact form√13889
Perfect squareNo
Number typeIrrational
Verification117.85160160132 ≈ 13889

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How the answer is calculated

We solve x2 = 13889. The resulting value is x = 117.8516016013.

Verification: 117.85160160132 ≈ 13889.

Simplified radical form

The square root of 13889 in simplified radical form is √13889.

There are no square factors that can be taken outside the radical, so √13889 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13886117.8388730428
√13887117.8431160484
√13888117.8473589012
√13889117.8516016013
√13890117.8558441487
√13891117.8600865433
√13892117.8643287853

Number properties

Is 13889 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13889 is irrational because 13889 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 13889.