Square root of 1323

The square root of 1323 is 36.373067 (rounded to 6 decimal places). In simplest radical form it is 21√3.

Square root of 1323

Pick any whole number from 1 to 10,000.

\sqrt{1323} = 21\sqrt{3} \approx 36.373067

How to work it out

1
The square root of 1323 is the number that multiplied by itself gives 1323.
2
1323 is between the perfect squares 36² = 1296 and 37² = 1369, so its square root is between 36 and 37.
3
Pull out the biggest square factor: 1323 = 441 × 3, so
$\sqrt{1323} = \sqrt{441 \times 3} = 21\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{1323} \approx 36.373067$

LaTeX source of the formulas on this page

\[ \sqrt{1323} = 21\sqrt{3} \approx 36.373067 \]
\[ \sqrt{1323} = \sqrt{441 \times 3} = 21\sqrt{3} \]
\[ \sqrt{1323} \approx 36.373067 \]

What is the square root of 1323?

The square root of 1323 is 36.373067 (rounded to 6 decimal places). In simplest radical form it is 21√3.

Is 1323 a perfect square?

No. It lies between 36² = 1296 and 37² = 1369.

What is 1323 squared?

1323 × 1323 = 1750329.

What is the square root of 1323 rounded to 2 decimals?

36.37.