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What is the Square Root of 13921?

The square root of 13921 is 117.9872874508. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13921 = 117.9872874508
CalculatedNon-perfect squareIrrational
Exact form√13921
Perfect squareNo
Number typeIrrational
Verification117.98728745082 ≈ 13921

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How the answer is calculated

We solve x2 = 13921. The resulting value is x = 117.9872874508.

Verification: 117.98728745082 ≈ 13921.

Simplified radical form

The square root of 13921 in simplified radical form is √13921.

There are no square factors that can be taken outside the radical, so √13921 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13918117.9745735318
√13919117.978811657
√13920117.98304963
√13921117.9872874508
√13922117.9915251194
√13923117.9957626358
√13924118

Number properties

Is 13921 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13921 is irrational because 13921 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 13921.