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Square root of 272

The square root of 272 is 16.492423 (rounded to 6 decimal places). In simplest radical form it is 4√17.

Square root of 272

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 272 is the number that multiplied by itself gives 272.

  2. 2

    272 is between the perfect squares 16² = 256 and 17² = 289, so its square root is between 16 and 17.

  3. 3

    Pull out the biggest square factor: 272 = 16 Ɨ 17, so

    272=16Ɨ17=417\sqrt{272} = \sqrt{16 \times 17} = 4\sqrt{17}
  4. 4

    A calculator, or long division of digits, gives

    272ā‰ˆ16.492423\sqrt{272} \approx 16.492423
LaTeX source of the formulas on this page
\[ \sqrt{272} = 4\sqrt{17} \approx 16.492423 \]
\[ \sqrt{272} = \sqrt{16 \times 17} = 4\sqrt{17} \]
\[ \sqrt{272} \approx 16.492423 \]

Squares around 272

NumberSquared
15225
16256
17289
18324

Questions

What is the square root of 272?

The square root of 272 is 16.492423 (rounded to 6 decimal places). In simplest radical form it is 4√17.

Is 272 a perfect square?

No. It lies between 16² = 256 and 17² = 289.

What is 272 squared?

272 Ɨ 272 = 73984.

What is the square root of 272 rounded to 2 decimals?

16.49.

Nearby numbers

More about 272

    Square root of 272: 16.492423 | WordGPT