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What is the Square Root of 13997?

The square root of 13997 is 118.308917669. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13997 = 118.308917669
CalculatedNon-perfect squareIrrational
Exact form√13997
Perfect squareNo
Number typeIrrational
Verification118.3089176692 ≈ 13997

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How the answer is calculated

We solve x2 = 13997. The resulting value is x = 118.308917669.

Verification: 118.3089176692 ≈ 13997.

Simplified radical form

The square root of 13997 in simplified radical form is √13997.

There are no square factors that can be taken outside the radical, so √13997 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√13994118.2962383172
√13995118.3004649188
√13996118.3046913694
√13997118.308917669
√13998118.3131438176
√13999118.3173698153
√14000118.321595662

Number properties

Is 13997 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13997 is irrational because 13997 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 13997.