Square root of 6816

The square root of 6816 is 82.55907 (rounded to 6 decimal places). In simplest radical form it is 4√426.

Square root of 6816

Pick any whole number from 1 to 10,000.

\sqrt{6816} = 4\sqrt{426} \approx 82.55907

How to work it out

1
The square root of 6816 is the number that multiplied by itself gives 6816.
2
6816 is between the perfect squares 82² = 6724 and 83² = 6889, so its square root is between 82 and 83.
3
Pull out the biggest square factor: 6816 = 16 × 426, so
$\sqrt{6816} = \sqrt{16 \times 426} = 4\sqrt{426}$
4
A calculator, or long division of digits, gives
$\sqrt{6816} \approx 82.55907$

LaTeX source of the formulas on this page

\[ \sqrt{6816} = 4\sqrt{426} \approx 82.55907 \]
\[ \sqrt{6816} = \sqrt{16 \times 426} = 4\sqrt{426} \]
\[ \sqrt{6816} \approx 82.55907 \]

What is the square root of 6816?

The square root of 6816 is 82.55907 (rounded to 6 decimal places). In simplest radical form it is 4√426.

Is 6816 a perfect square?

No. It lies between 82² = 6724 and 83² = 6889.

What is 6816 squared?

6816 × 6816 = 46457856.

What is the square root of 6816 rounded to 2 decimals?

82.56.