What is the Square Root of 13998?

The square root of 13998 is 118.3131438176. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13998 = 118.3131438176
CalculatedNon-perfect squareIrrational
Exact form√13998
Perfect squareNo
Number typeIrrational
Verification118.31314381762 ≈ 13998

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How the answer is calculated

We solve x2 = 13998. The resulting value is x = 118.3131438176.

Verification: 118.31314381762 ≈ 13998.

Simplified radical form

The square root of 13998 in simplified radical form is √13998.

There are no square factors that can be taken outside the radical, so √13998 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√13995118.3004649188
√13996118.3046913694
√13997118.308917669
√13998118.3131438176
√13999118.3173698153
√14000118.321595662
√14001118.3258213578

Number properties

Is 13998 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13998 is irrational because 13998 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 13998.