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What is the Square Root of 13940?

The square root of 13940 is 118.0677771452. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13940 = 118.0677771452
CalculatedNon-perfect squareIrrational
Exact form√13940
Perfect squareNo
Number typeIrrational
Verification118.06777714522 ≈ 13940

On this page

How the answer is calculated

We solve x2 = 13940. The resulting value is x = 118.0677771452.

Verification: 118.06777714522 ≈ 13940.

Simplified radical form

The square root of 13940 in simplified radical form is 2√3485.

This is equivalent to √13940, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√13937118.0550718944
√13938118.0593071299
√13939118.0635422135
√13940118.0677771452
√13941118.0720119249
√13942118.0762465528
√13943118.0804810288

Number properties

Is 13940 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13940 is irrational because 13940 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 13940.