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What is the Square Root of 13642?

The square root of 13642 is 116.7989725982. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13642 = 116.7989725982
CalculatedNon-perfect squareIrrational
Exact form√13642
Perfect squareNo
Number typeIrrational
Verification116.79897259822 ≈ 13642

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How the answer is calculated

We solve x2 = 13642. The resulting value is x = 116.7989725982.

Verification: 116.79897259822 ≈ 13642.

Simplified radical form

The square root of 13642 in simplified radical form is √13642.

There are no square factors that can be taken outside the radical, so √13642 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13639116.7861293134
√13640116.7904105653
√13641116.7946916602
√13642116.7989725982
√13643116.8032533793
√13644116.8075340036
√13645116.811814471

Number properties

Is 13642 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13642 is irrational because 13642 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 13642.