Square root of 315

The square root of 315 is 17.748239 (rounded to 6 decimal places). In simplest radical form it is 3√35.

Square root of 315

Pick any whole number from 1 to 10,000.

\sqrt{315} = 3\sqrt{35} \approx 17.748239

How to work it out

1
The square root of 315 is the number that multiplied by itself gives 315.
2
315 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: 315 = 9 × 35, so
$\sqrt{315} = \sqrt{9 \times 35} = 3\sqrt{35}$
4
A calculator, or long division of digits, gives
$\sqrt{315} \approx 17.748239$

LaTeX source of the formulas on this page

\[ \sqrt{315} = 3\sqrt{35} \approx 17.748239 \]
\[ \sqrt{315} = \sqrt{9 \times 35} = 3\sqrt{35} \]
\[ \sqrt{315} \approx 17.748239 \]

What is the square root of 315?

The square root of 315 is 17.748239 (rounded to 6 decimal places). In simplest radical form it is 3√35.

Is 315 a perfect square?

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

What is 315 squared?

315 × 315 = 99225.

What is the square root of 315 rounded to 2 decimals?

17.75.