Square root of 6912

The square root of 6912 is 83.138439 (rounded to 6 decimal places). In simplest radical form it is 48√3.

Square root of 6912

Pick any whole number from 1 to 10,000.

\sqrt{6912} = 48\sqrt{3} \approx 83.138439

How to work it out

1
The square root of 6912 is the number that multiplied by itself gives 6912.
2
6912 is between the perfect squares 83² = 6889 and 84² = 7056, so its square root is between 83 and 84.
3
Pull out the biggest square factor: 6912 = 2304 × 3, so
$\sqrt{6912} = \sqrt{2304 \times 3} = 48\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{6912} \approx 83.138439$

LaTeX source of the formulas on this page

\[ \sqrt{6912} = 48\sqrt{3} \approx 83.138439 \]
\[ \sqrt{6912} = \sqrt{2304 \times 3} = 48\sqrt{3} \]
\[ \sqrt{6912} \approx 83.138439 \]

What is the square root of 6912?

The square root of 6912 is 83.138439 (rounded to 6 decimal places). In simplest radical form it is 48√3.

Is 6912 a perfect square?

No. It lies between 83² = 6889 and 84² = 7056.

What is 6912 squared?

6912 × 6912 = 47775744.

What is the square root of 6912 rounded to 2 decimals?

83.14.