What is the Square Root of 27229?

The square root of 27229 is 165.0121207669. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27229 = 165.0121207669
CalculatedNon-perfect squareIrrational
Exact form√27229
Perfect squareNo
Number typeIrrational
Verification165.01212076692 ≈ 27229

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How the answer is calculated

We solve x2 = 27229. The resulting value is x = 165.0121207669.

Verification: 165.01212076692 ≈ 27229.

Simplified radical form

The square root of 27229 in simplified radical form is √27229.

There are no square factors that can be taken outside the radical, so √27229 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27226165.0030302752
√27227165.0060604948
√27228165.0090906587
√27229165.0121207669
√27230165.0151508196
√27231165.0181808165
√27232165.0212107579

Number properties

Is 27229 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27229 is irrational because 27229 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 27229.