Square root of 328

The square root of 328 is 18.11077 (rounded to 6 decimal places). In simplest radical form it is 2√82.

Square root of 328

Pick any whole number from 1 to 10,000.

\sqrt{328} = 2\sqrt{82} \approx 18.11077

How to work it out

1
The square root of 328 is the number that multiplied by itself gives 328.
2
328 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: 328 = 4 × 82, so
$\sqrt{328} = \sqrt{4 \times 82} = 2\sqrt{82}$
4
A calculator, or long division of digits, gives
$\sqrt{328} \approx 18.11077$

LaTeX source of the formulas on this page

\[ \sqrt{328} = 2\sqrt{82} \approx 18.11077 \]
\[ \sqrt{328} = \sqrt{4 \times 82} = 2\sqrt{82} \]
\[ \sqrt{328} \approx 18.11077 \]

What is the square root of 328?

The square root of 328 is 18.11077 (rounded to 6 decimal places). In simplest radical form it is 2√82.

Is 328 a perfect square?

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

What is 328 squared?

328 × 328 = 107584.

What is the square root of 328 rounded to 2 decimals?

18.11.