Square root of 3288

The square root of 3288 is 57.341085 (rounded to 6 decimal places). In simplest radical form it is 2√822.

Square root of 3288

Pick any whole number from 1 to 10,000.

\sqrt{3288} = 2\sqrt{822} \approx 57.341085

How to work it out

1
The square root of 3288 is the number that multiplied by itself gives 3288.
2
3288 is between the perfect squares 57² = 3249 and 58² = 3364, so its square root is between 57 and 58.
3
Pull out the biggest square factor: 3288 = 4 × 822, so
$\sqrt{3288} = \sqrt{4 \times 822} = 2\sqrt{822}$
4
A calculator, or long division of digits, gives
$\sqrt{3288} \approx 57.341085$

LaTeX source of the formulas on this page

\[ \sqrt{3288} = 2\sqrt{822} \approx 57.341085 \]
\[ \sqrt{3288} = \sqrt{4 \times 822} = 2\sqrt{822} \]
\[ \sqrt{3288} \approx 57.341085 \]

What is the square root of 3288?

The square root of 3288 is 57.341085 (rounded to 6 decimal places). In simplest radical form it is 2√822.

Is 3288 a perfect square?

No. It lies between 57² = 3249 and 58² = 3364.

What is 3288 squared?

3288 × 3288 = 10810944.

What is the square root of 3288 rounded to 2 decimals?

57.34.