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Square root of 243

The square root of 243 is 15.588457 (rounded to 6 decimal places). In simplest radical form it is 9√3.

Square root of 243

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 243 is the number that multiplied by itself gives 243.

  2. 2

    243 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: 243 = 81 Ɨ 3, so

    243=81Ɨ3=93\sqrt{243} = \sqrt{81 \times 3} = 9\sqrt{3}
  4. 4

    A calculator, or long division of digits, gives

    243ā‰ˆ15.588457\sqrt{243} \approx 15.588457
LaTeX source of the formulas on this page
\[ \sqrt{243} = 9\sqrt{3} \approx 15.588457 \]
\[ \sqrt{243} = \sqrt{81 \times 3} = 9\sqrt{3} \]
\[ \sqrt{243} \approx 15.588457 \]

Squares around 243

NumberSquared
14196
15225
16256
17289

Questions

What is the square root of 243?

The square root of 243 is 15.588457 (rounded to 6 decimal places). In simplest radical form it is 9√3.

Is 243 a perfect square?

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

What is 243 squared?

243 Ɨ 243 = 59049.

What is the square root of 243 rounded to 2 decimals?

15.59.

Nearby numbers

More about 243

    Square root of 243: 15.588457 | WordGPT