Square root of 352

The square root of 352 is 18.761663 (rounded to 6 decimal places). In simplest radical form it is 4√22.

Square root of 352

Pick any whole number from 1 to 10,000.

\sqrt{352} = 4\sqrt{22} \approx 18.761663

How to work it out

1
The square root of 352 is the number that multiplied by itself gives 352.
2
352 is between the perfect squares 18² = 324 and 19² = 361, so its square root is between 18 and 19.
3
Pull out the biggest square factor: 352 = 16 × 22, so
$\sqrt{352} = \sqrt{16 \times 22} = 4\sqrt{22}$
4
A calculator, or long division of digits, gives
$\sqrt{352} \approx 18.761663$

LaTeX source of the formulas on this page

\[ \sqrt{352} = 4\sqrt{22} \approx 18.761663 \]
\[ \sqrt{352} = \sqrt{16 \times 22} = 4\sqrt{22} \]
\[ \sqrt{352} \approx 18.761663 \]

What is the square root of 352?

The square root of 352 is 18.761663 (rounded to 6 decimal places). In simplest radical form it is 4√22.

Is 352 a perfect square?

No. It lies between 18² = 324 and 19² = 361.

What is 352 squared?

352 × 352 = 123904.

What is the square root of 352 rounded to 2 decimals?

18.76.