Square root of 297

The square root of 297 is 17.233688 (rounded to 6 decimal places). In simplest radical form it is 3√33.

Square root of 297

Pick any whole number from 1 to 10,000.

\sqrt{297} = 3\sqrt{33} \approx 17.233688

How to work it out

1
The square root of 297 is the number that multiplied by itself gives 297.
2
297 is between the perfect squares 17² = 289 and 18² = 324, so its square root is between 17 and 18.
3
Pull out the biggest square factor: 297 = 9 × 33, so
$\sqrt{297} = \sqrt{9 \times 33} = 3\sqrt{33}$
4
A calculator, or long division of digits, gives
$\sqrt{297} \approx 17.233688$

LaTeX source of the formulas on this page

\[ \sqrt{297} = 3\sqrt{33} \approx 17.233688 \]
\[ \sqrt{297} = \sqrt{9 \times 33} = 3\sqrt{33} \]
\[ \sqrt{297} \approx 17.233688 \]

What is the square root of 297?

The square root of 297 is 17.233688 (rounded to 6 decimal places). In simplest radical form it is 3√33.

Is 297 a perfect square?

No. It lies between 17² = 289 and 18² = 324.

What is 297 squared?

297 × 297 = 88209.

What is the square root of 297 rounded to 2 decimals?

17.23.