Square root of 6768

The square root of 6768 is 82.267855 (rounded to 6 decimal places). In simplest radical form it is 12√47.

Square root of 6768

Pick any whole number from 1 to 10,000.

\sqrt{6768} = 12\sqrt{47} \approx 82.267855

How to work it out

1
The square root of 6768 is the number that multiplied by itself gives 6768.
2
6768 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: 6768 = 144 × 47, so
$\sqrt{6768} = \sqrt{144 \times 47} = 12\sqrt{47}$
4
A calculator, or long division of digits, gives
$\sqrt{6768} \approx 82.267855$

LaTeX source of the formulas on this page

\[ \sqrt{6768} = 12\sqrt{47} \approx 82.267855 \]
\[ \sqrt{6768} = \sqrt{144 \times 47} = 12\sqrt{47} \]
\[ \sqrt{6768} \approx 82.267855 \]

What is the square root of 6768?

The square root of 6768 is 82.267855 (rounded to 6 decimal places). In simplest radical form it is 12√47.

Is 6768 a perfect square?

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

What is 6768 squared?

6768 × 6768 = 45805824.

What is the square root of 6768 rounded to 2 decimals?

82.27.