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What is the Square Root of 27442?

The square root of 27442 is 165.6562706329. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27442 = 165.6562706329
CalculatedNon-perfect squareIrrational
Exact form√27442
Perfect squareNo
Number typeIrrational
Verification165.65627063292 ≈ 27442

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How the answer is calculated

We solve x2 = 27442. The resulting value is x = 165.6562706329.

Verification: 165.65627063292 ≈ 27442.

Simplified radical form

The square root of 27442 in simplified radical form is √27442.

There are no square factors that can be taken outside the radical, so √27442 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27439165.6472154912
√27440165.6502339268
√27441165.6532523073
√27442165.6562706329
√27443165.6592889035
√27444165.662307119
√27445165.6653252796

Number properties

Is 27442 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27442 is irrational because 27442 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 27442.