Square root of 3312

The square root of 3312 is 57.549978 (rounded to 6 decimal places). In simplest radical form it is 12√23.

Square root of 3312

Pick any whole number from 1 to 10,000.

\sqrt{3312} = 12\sqrt{23} \approx 57.549978

How to work it out

1
The square root of 3312 is the number that multiplied by itself gives 3312.
2
3312 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: 3312 = 144 × 23, so
$\sqrt{3312} = \sqrt{144 \times 23} = 12\sqrt{23}$
4
A calculator, or long division of digits, gives
$\sqrt{3312} \approx 57.549978$

LaTeX source of the formulas on this page

\[ \sqrt{3312} = 12\sqrt{23} \approx 57.549978 \]
\[ \sqrt{3312} = \sqrt{144 \times 23} = 12\sqrt{23} \]
\[ \sqrt{3312} \approx 57.549978 \]

What is the square root of 3312?

The square root of 3312 is 57.549978 (rounded to 6 decimal places). In simplest radical form it is 12√23.

Is 3312 a perfect square?

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

What is 3312 squared?

3312 × 3312 = 10969344.

What is the square root of 3312 rounded to 2 decimals?

57.55.