Square root of 6720

The square root of 6720 is 81.975606 (rounded to 6 decimal places). In simplest radical form it is 8√105.

Square root of 6720

Pick any whole number from 1 to 10,000.

\sqrt{6720} = 8\sqrt{105} \approx 81.975606

How to work it out

1
The square root of 6720 is the number that multiplied by itself gives 6720.
2
6720 is between the perfect squares 81² = 6561 and 82² = 6724, so its square root is between 81 and 82.
3
Pull out the biggest square factor: 6720 = 64 × 105, so
$\sqrt{6720} = \sqrt{64 \times 105} = 8\sqrt{105}$
4
A calculator, or long division of digits, gives
$\sqrt{6720} \approx 81.975606$

LaTeX source of the formulas on this page

\[ \sqrt{6720} = 8\sqrt{105} \approx 81.975606 \]
\[ \sqrt{6720} = \sqrt{64 \times 105} = 8\sqrt{105} \]
\[ \sqrt{6720} \approx 81.975606 \]

What is the square root of 6720?

The square root of 6720 is 81.975606 (rounded to 6 decimal places). In simplest radical form it is 8√105.

Is 6720 a perfect square?

No. It lies between 81² = 6561 and 82² = 6724.

What is 6720 squared?

6720 × 6720 = 45158400.

What is the square root of 6720 rounded to 2 decimals?

81.98.