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What is the Square Root of 13988?

The square root of 13988 is 118.2708755358. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13988 = 118.2708755358
CalculatedNon-perfect squareIrrational
Exact form√13988
Perfect squareNo
Number typeIrrational
Verification118.27087553582 ≈ 13988

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How the answer is calculated

We solve x2 = 13988. The resulting value is x = 118.2708755358.

Verification: 118.27087553582 ≈ 13988.

Simplified radical form

The square root of 13988 in simplified radical form is 2√3497.

This is equivalent to √13988, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√13985118.2581921052
√13986118.2624200666
√13987118.2666478767
√13988118.2708755358
√13989118.2751030437
√13990118.2793304005
√13991118.2835576063

Number properties

Is 13988 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13988 is irrational because 13988 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 13988.