Square root of 7016

The square root of 7016 is 83.761566 (rounded to 6 decimal places). In simplest radical form it is 2√1754.

Square root of 7016

Pick any whole number from 1 to 10,000.

\sqrt{7016} = 2\sqrt{1754} \approx 83.761566

How to work it out

1
The square root of 7016 is the number that multiplied by itself gives 7016.
2
7016 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: 7016 = 4 × 1754, so
$\sqrt{7016} = \sqrt{4 \times 1754} = 2\sqrt{1754}$
4
A calculator, or long division of digits, gives
$\sqrt{7016} \approx 83.761566$

LaTeX source of the formulas on this page

\[ \sqrt{7016} = 2\sqrt{1754} \approx 83.761566 \]
\[ \sqrt{7016} = \sqrt{4 \times 1754} = 2\sqrt{1754} \]
\[ \sqrt{7016} \approx 83.761566 \]

What is the square root of 7016?

The square root of 7016 is 83.761566 (rounded to 6 decimal places). In simplest radical form it is 2√1754.

Is 7016 a perfect square?

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

What is 7016 squared?

7016 × 7016 = 49224256.

What is the square root of 7016 rounded to 2 decimals?

83.76.