Square root of 332

The square root of 332 is 18.220867 (rounded to 6 decimal places). In simplest radical form it is 2√83.

Square root of 332

Pick any whole number from 1 to 10,000.

\sqrt{332} = 2\sqrt{83} \approx 18.220867

How to work it out

1
The square root of 332 is the number that multiplied by itself gives 332.
2
332 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: 332 = 4 × 83, so
$\sqrt{332} = \sqrt{4 \times 83} = 2\sqrt{83}$
4
A calculator, or long division of digits, gives
$\sqrt{332} \approx 18.220867$

LaTeX source of the formulas on this page

\[ \sqrt{332} = 2\sqrt{83} \approx 18.220867 \]
\[ \sqrt{332} = \sqrt{4 \times 83} = 2\sqrt{83} \]
\[ \sqrt{332} \approx 18.220867 \]

What is the square root of 332?

The square root of 332 is 18.220867 (rounded to 6 decimal places). In simplest radical form it is 2√83.

Is 332 a perfect square?

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

What is 332 squared?

332 × 332 = 110224.

What is the square root of 332 rounded to 2 decimals?

18.22.