Square root of 3996

The square root of 3996 is 63.213923 (rounded to 6 decimal places). In simplest radical form it is 6√111.

Square root of 3996

Pick any whole number from 1 to 10,000.

\sqrt{3996} = 6\sqrt{111} \approx 63.213923

How to work it out

1
The square root of 3996 is the number that multiplied by itself gives 3996.
2
3996 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.
3
Pull out the biggest square factor: 3996 = 36 × 111, so
$\sqrt{3996} = \sqrt{36 \times 111} = 6\sqrt{111}$
4
A calculator, or long division of digits, gives
$\sqrt{3996} \approx 63.213923$

LaTeX source of the formulas on this page

\[ \sqrt{3996} = 6\sqrt{111} \approx 63.213923 \]
\[ \sqrt{3996} = \sqrt{36 \times 111} = 6\sqrt{111} \]
\[ \sqrt{3996} \approx 63.213923 \]

What is the square root of 3996?

The square root of 3996 is 63.213923 (rounded to 6 decimal places). In simplest radical form it is 6√111.

Is 3996 a perfect square?

No. It lies between 63² = 3969 and 64² = 4096.

What is 3996 squared?

3996 × 3996 = 15968016.

What is the square root of 3996 rounded to 2 decimals?

63.21.