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Square root of 232

The square root of 232 is 15.231546 (rounded to 6 decimal places). In simplest radical form it is 2√58.

Square root of 232

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 232 is the number that multiplied by itself gives 232.

  2. 2

    232 is between the perfect squares 15² = 225 and 16² = 256, so its square root is between 15 and 16.

  3. 3

    Pull out the biggest square factor: 232 = 4 Ɨ 58, so

    232=4Ɨ58=258\sqrt{232} = \sqrt{4 \times 58} = 2\sqrt{58}
  4. 4

    A calculator, or long division of digits, gives

    232ā‰ˆ15.231546\sqrt{232} \approx 15.231546
LaTeX source of the formulas on this page
\[ \sqrt{232} = 2\sqrt{58} \approx 15.231546 \]
\[ \sqrt{232} = \sqrt{4 \times 58} = 2\sqrt{58} \]
\[ \sqrt{232} \approx 15.231546 \]

Squares around 232

NumberSquared
14196
15225
16256
17289

Questions

What is the square root of 232?

The square root of 232 is 15.231546 (rounded to 6 decimal places). In simplest radical form it is 2√58.

Is 232 a perfect square?

No. It lies between 15² = 225 and 16² = 256.

What is 232 squared?

232 Ɨ 232 = 53824.

What is the square root of 232 rounded to 2 decimals?

15.23.

Nearby numbers

More about 232

    Square root of 232: 15.231546 | WordGPT