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What is the Square Root of 27274?

The square root of 27274 is 165.1484180972. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27274 = 165.1484180972
CalculatedNon-perfect squareIrrational
Exact form√27274
Perfect squareNo
Number typeIrrational
Verification165.14841809722 ≈ 27274

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How the answer is calculated

We solve x2 = 27274. The resulting value is x = 165.1484180972.

Verification: 165.14841809722 ≈ 27274.

Simplified radical form

The square root of 27274 in simplified radical form is √27274.

There are no square factors that can be taken outside the radical, so √27274 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27271165.1393351083
√27272165.1423628267
√27273165.1453904897
√27274165.1484180972
√27275165.1514456491
√27276165.1544731456
√27277165.1575005866

Number properties

Is 27274 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27274 is irrational because 27274 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 27274.