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What is the Square Root of 27742?

The square root of 27742 is 166.5592987497. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27742 = 166.5592987497
CalculatedNon-perfect squareIrrational
Exact form√27742
Perfect squareNo
Number typeIrrational
Verification166.55929874972 ≈ 27742

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How the answer is calculated

We solve x2 = 27742. The resulting value is x = 166.5592987497.

Verification: 166.55929874972 ≈ 27742.

Simplified radical form

The square root of 27742 in simplified radical form is √27742.

There are no square factors that can be taken outside the radical, so √27742 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16627556
Upper or equal16727889

Nearby square roots

NumberSquare root
√27739166.5502927046
√27740166.5532947738
√27741166.5562967888
√27742166.5592987497
√27743166.5623006565
√27744166.5653025093
√27745166.5683043079

Number properties

Is 27742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27742 is irrational because 27742 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 27742.