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What is the Square Root of 27368?

The square root of 27368 is 165.4327657993. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27368 = 165.4327657993
CalculatedNon-perfect squareIrrational
Exact form√27368
Perfect squareNo
Number typeIrrational
Verification165.43276579932 ≈ 27368

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How the answer is calculated

We solve x2 = 27368. The resulting value is x = 165.4327657993.

Verification: 165.43276579932 ≈ 27368.

Simplified radical form

The square root of 27368 in simplified radical form is 2√6842.

This is equivalent to √27368, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27365165.4236984232
√27366165.4267209371
√27367165.4297433958
√27368165.4327657993
√27369165.4357881475
√27370165.4388104406
√27371165.4418326784

Number properties

Is 27368 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27368 is irrational because 27368 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 27368.