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What is the Square Root of 27342?

The square root of 27342 is 165.3541653542. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27342 = 165.3541653542
CalculatedNon-perfect squareIrrational
Exact form√27342
Perfect squareNo
Number typeIrrational
Verification165.35416535422 ≈ 27342

On this page

How the answer is calculated

We solve x2 = 27342. The resulting value is x = 165.3541653542.

Verification: 165.35416535422 ≈ 27342.

Simplified radical form

The square root of 27342 in simplified radical form is 21√62.

This is equivalent to √27342, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27339165.3450936678
√27340165.3481176186
√27341165.3511415141
√27342165.3541653542
√27343165.3571891391
√27344165.3602128688
√27345165.3632365431

Number properties

Is 27342 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27342 is irrational because 27342 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 27342.