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What is the Square Root of 272?

The square root of 272 is 16.4924225025. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√272 = 16.4924225025
CalculatedNon-perfect squareIrrational
Exact form√272
Perfect squareNo
Number typeIrrational
Verification16.49242250252 ≈ 272

On this page

How the answer is calculated

We solve x2 = 272. The resulting value is x = 16.4924225025.

Verification: 16.49242250252 ≈ 272.

Simplified radical form

The square root of 272 in simplified radical form is 4√17.

This is equivalent to √272, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16256
Upper or equal17289

Nearby square roots

NumberSquare root
√26916.4012194669
√27016.4316767252
√27116.4620776332
√27216.4924225025
√27316.5227116419
√27416.5529453572
√27516.5831239518

Number properties

Is 272 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√272 is irrational because 272 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 272.