What is the Square Root of 27388?

The square root of 27388 is 165.4932022773. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27388 = 165.4932022773
CalculatedNon-perfect squareIrrational
Exact form√27388
Perfect squareNo
Number typeIrrational
Verification165.49320227732 ≈ 27388

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How the answer is calculated

We solve x2 = 27388. The resulting value is x = 165.4932022773.

Verification: 165.49320227732 ≈ 27388.

Simplified radical form

The square root of 27388 in simplified radical form is 2√6847.

This is equivalent to √27388, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27385165.4841382127
√27386165.4871596227
√27387165.4901809776
√27388165.4932022773
√27389165.4962235219
√27390165.4992447113
√27391165.5022658455

Number properties

Is 27388 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27388 is irrational because 27388 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 27388.