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What is the Square Root of 14142?

The square root of 14142 is 118.9201412714. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14142 = 118.9201412714
CalculatedNon-perfect squareIrrational
Exact form√14142
Perfect squareNo
Number typeIrrational
Verification118.92014127142 ≈ 14142

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How the answer is calculated

We solve x2 = 14142. The resulting value is x = 118.9201412714.

Verification: 118.92014127142 ≈ 14142.

Simplified radical form

The square root of 14142 in simplified radical form is √14142.

There are no square factors that can be taken outside the radical, so √14142 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√14139118.9075270956
√14140118.9117319696
√14141118.9159366948
√14142118.9201412714
√14143118.9243456993
√14144118.9285499785
√14145118.9327541092

Number properties

Is 14142 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14142 is irrational because 14142 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 14142.