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What is the Square Root of 13984?

The square root of 13984 is 118.2539639928. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13984 = 118.2539639928
CalculatedNon-perfect squareIrrational
Exact form√13984
Perfect squareNo
Number typeIrrational
Verification118.25396399282 ≈ 13984

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How the answer is calculated

We solve x2 = 13984. The resulting value is x = 118.2539639928.

Verification: 118.25396399282 ≈ 13984.

Simplified radical form

The square root of 13984 in simplified radical form is 4√874.

This is equivalent to √13984, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√13981118.2412787482
√13982118.2455073142
√13983118.2497357291
√13984118.2539639928
√13985118.2581921052
√13986118.2624200666
√13987118.2666478767

Number properties

Is 13984 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13984 is irrational because 13984 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 13984.