Square root of 228

The square root of 228 is 15.099669 (rounded to 6 decimal places). In simplest radical form it is 2√57.

Square root of 228

Pick any whole number from 1 to 10,000.

\sqrt{228} = 2\sqrt{57} \approx 15.099669

How to work it out

1
The square root of 228 is the number that multiplied by itself gives 228.
2
228 is between the perfect squares 15² = 225 and 16² = 256, so its square root is between 15 and 16.
3
Pull out the biggest square factor: 228 = 4 × 57, so
$\sqrt{228} = \sqrt{4 \times 57} = 2\sqrt{57}$
4
A calculator, or long division of digits, gives
$\sqrt{228} \approx 15.099669$

LaTeX source of the formulas on this page

\[ \sqrt{228} = 2\sqrt{57} \approx 15.099669 \]
\[ \sqrt{228} = \sqrt{4 \times 57} = 2\sqrt{57} \]
\[ \sqrt{228} \approx 15.099669 \]

What is the square root of 228?

The square root of 228 is 15.099669 (rounded to 6 decimal places). In simplest radical form it is 2√57.

Is 228 a perfect square?

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

What is 228 squared?

228 × 228 = 51984.

What is the square root of 228 rounded to 2 decimals?

15.10.