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What is the Square Root of 27344?

The square root of 27344 is 165.3602128688. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27344 = 165.3602128688
CalculatedNon-perfect squareIrrational
Exact form√27344
Perfect squareNo
Number typeIrrational
Verification165.36021286882 ≈ 27344

On this page

How the answer is calculated

We solve x2 = 27344. The resulting value is x = 165.3602128688.

Verification: 165.36021286882 ≈ 27344.

Simplified radical form

The square root of 27344 in simplified radical form is 4√1709.

This is equivalent to √27344, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27341165.3511415141
√27342165.3541653542
√27343165.3571891391
√27344165.3602128688
√27345165.3632365431
√27346165.3662601621
√27347165.3692837258

Number properties

Is 27344 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27344 is irrational because 27344 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 27344.