Square root of 8516

The square root of 8516 is 92.282176 (rounded to 6 decimal places). In simplest radical form it is 2√2129.

Square root of 8516

Pick any whole number from 1 to 10,000.

\sqrt{8516} = 2\sqrt{2129} \approx 92.282176

How to work it out

1
The square root of 8516 is the number that multiplied by itself gives 8516.
2
8516 is between the perfect squares 92² = 8464 and 93² = 8649, so its square root is between 92 and 93.
3
Pull out the biggest square factor: 8516 = 4 × 2129, so
$\sqrt{8516} = \sqrt{4 \times 2129} = 2\sqrt{2129}$
4
A calculator, or long division of digits, gives
$\sqrt{8516} \approx 92.282176$

LaTeX source of the formulas on this page

\[ \sqrt{8516} = 2\sqrt{2129} \approx 92.282176 \]
\[ \sqrt{8516} = \sqrt{4 \times 2129} = 2\sqrt{2129} \]
\[ \sqrt{8516} \approx 92.282176 \]

What is the square root of 8516?

The square root of 8516 is 92.282176 (rounded to 6 decimal places). In simplest radical form it is 2√2129.

Is 8516 a perfect square?

No. It lies between 92² = 8464 and 93² = 8649.

What is 8516 squared?

8516 × 8516 = 72522256.

What is the square root of 8516 rounded to 2 decimals?

92.28.