Square root of 7011

The square root of 7011 is 83.731714 (rounded to 6 decimal places). In simplest radical form it is 3√779.

Square root of 7011

Pick any whole number from 1 to 10,000.

\sqrt{7011} = 3\sqrt{779} \approx 83.731714

How to work it out

1
The square root of 7011 is the number that multiplied by itself gives 7011.
2
7011 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: 7011 = 9 × 779, so
$\sqrt{7011} = \sqrt{9 \times 779} = 3\sqrt{779}$
4
A calculator, or long division of digits, gives
$\sqrt{7011} \approx 83.731714$

LaTeX source of the formulas on this page

\[ \sqrt{7011} = 3\sqrt{779} \approx 83.731714 \]
\[ \sqrt{7011} = \sqrt{9 \times 779} = 3\sqrt{779} \]
\[ \sqrt{7011} \approx 83.731714 \]

What is the square root of 7011?

The square root of 7011 is 83.731714 (rounded to 6 decimal places). In simplest radical form it is 3√779.

Is 7011 a perfect square?

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

What is 7011 squared?

7011 × 7011 = 49154121.

What is the square root of 7011 rounded to 2 decimals?

83.73.