Square root of 864

The square root of 864 is 29.393877 (rounded to 6 decimal places). In simplest radical form it is 12√6.

Square root of 864

Pick any whole number from 1 to 10,000.

\sqrt{864} = 12\sqrt{6} \approx 29.393877

How to work it out

1
The square root of 864 is the number that multiplied by itself gives 864.
2
864 is between the perfect squares 29² = 841 and 30² = 900, so its square root is between 29 and 30.
3
Pull out the biggest square factor: 864 = 144 × 6, so
$\sqrt{864} = \sqrt{144 \times 6} = 12\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{864} \approx 29.393877$

LaTeX source of the formulas on this page

\[ \sqrt{864} = 12\sqrt{6} \approx 29.393877 \]
\[ \sqrt{864} = \sqrt{144 \times 6} = 12\sqrt{6} \]
\[ \sqrt{864} \approx 29.393877 \]

What is the square root of 864?

The square root of 864 is 29.393877 (rounded to 6 decimal places). In simplest radical form it is 12√6.

Is 864 a perfect square?

No. It lies between 29² = 841 and 30² = 900.

What is 864 squared?

864 × 864 = 746496.

What is the square root of 864 rounded to 2 decimals?

29.39.