Square root of 8492

The square root of 8492 is 92.152048 (rounded to 6 decimal places). In simplest radical form it is 2√2123.

Square root of 8492

Pick any whole number from 1 to 10,000.

\sqrt{8492} = 2\sqrt{2123} \approx 92.152048

How to work it out

1
The square root of 8492 is the number that multiplied by itself gives 8492.
2
8492 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: 8492 = 4 × 2123, so
$\sqrt{8492} = \sqrt{4 \times 2123} = 2\sqrt{2123}$
4
A calculator, or long division of digits, gives
$\sqrt{8492} \approx 92.152048$

LaTeX source of the formulas on this page

\[ \sqrt{8492} = 2\sqrt{2123} \approx 92.152048 \]
\[ \sqrt{8492} = \sqrt{4 \times 2123} = 2\sqrt{2123} \]
\[ \sqrt{8492} \approx 92.152048 \]

What is the square root of 8492?

The square root of 8492 is 92.152048 (rounded to 6 decimal places). In simplest radical form it is 2√2123.

Is 8492 a perfect square?

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

What is 8492 squared?

8492 × 8492 = 72114064.

What is the square root of 8492 rounded to 2 decimals?

92.15.