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What is the Square Root of 13882?

The square root of 13882 is 117.8218994924. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13882 = 117.8218994924
CalculatedNon-perfect squareIrrational
Exact form√13882
Perfect squareNo
Number typeIrrational
Verification117.82189949242 ≈ 13882

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How the answer is calculated

We solve x2 = 13882. The resulting value is x = 117.8218994924.

Verification: 117.82189949242 ≈ 13882.

Simplified radical form

The square root of 13882 in simplified radical form is √13882.

There are no square factors that can be taken outside the radical, so √13882 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13879117.8091677248
√13880117.8134118002
√13881117.8176557227
√13882117.8218994924
√13883117.8261431092
√13884117.8303865732
√13885117.8346298844

Number properties

Is 13882 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13882 is irrational because 13882 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 13882.