Square root of 3888

The square root of 3888 is 62.353829 (rounded to 6 decimal places). In simplest radical form it is 36√3.

Square root of 3888

Pick any whole number from 1 to 10,000.

\sqrt{3888} = 36\sqrt{3} \approx 62.353829

How to work it out

1
The square root of 3888 is the number that multiplied by itself gives 3888.
2
3888 is between the perfect squares 62² = 3844 and 63² = 3969, so its square root is between 62 and 63.
3
Pull out the biggest square factor: 3888 = 1296 × 3, so
$\sqrt{3888} = \sqrt{1296 \times 3} = 36\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{3888} \approx 62.353829$

LaTeX source of the formulas on this page

\[ \sqrt{3888} = 36\sqrt{3} \approx 62.353829 \]
\[ \sqrt{3888} = \sqrt{1296 \times 3} = 36\sqrt{3} \]
\[ \sqrt{3888} \approx 62.353829 \]

What is the square root of 3888?

The square root of 3888 is 62.353829 (rounded to 6 decimal places). In simplest radical form it is 36√3.

Is 3888 a perfect square?

No. It lies between 62² = 3844 and 63² = 3969.

What is 3888 squared?

3888 × 3888 = 15116544.

What is the square root of 3888 rounded to 2 decimals?

62.35.