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What is the Square Root of 13982?

The square root of 13982 is 118.2455073142. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13982 = 118.2455073142
CalculatedNon-perfect squareIrrational
Exact form√13982
Perfect squareNo
Number typeIrrational
Verification118.24550731422 ≈ 13982

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How the answer is calculated

We solve x2 = 13982. The resulting value is x = 118.2455073142.

Verification: 118.24550731422 ≈ 13982.

Simplified radical form

The square root of 13982 in simplified radical form is √13982.

There are no square factors that can be taken outside the radical, so √13982 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√13979118.2328211623
√13980118.2370500309
√13981118.2412787482
√13982118.2455073142
√13983118.2497357291
√13984118.2539639928
√13985118.2581921052

Number properties

Is 13982 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13982 is irrational because 13982 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 13982.