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What is the Square Root of 27367?

The square root of 27367 is 165.4297433958. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27367 = 165.4297433958
CalculatedNon-perfect squareIrrational
Exact form√27367
Perfect squareNo
Number typeIrrational
Verification165.42974339582 ≈ 27367

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How the answer is calculated

We solve x2 = 27367. The resulting value is x = 165.4297433958.

Verification: 165.42974339582 ≈ 27367.

Simplified radical form

The square root of 27367 in simplified radical form is √27367.

There are no square factors that can be taken outside the radical, so √27367 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27364165.420675854
√27365165.4236984232
√27366165.4267209371
√27367165.4297433958
√27368165.4327657993
√27369165.4357881475
√27370165.4388104406

Number properties

Is 27367 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27367 is irrational because 27367 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 27367.