Square root of 492

The square root of 492 is 22.181073 (rounded to 6 decimal places). In simplest radical form it is 2√123.

Square root of 492

Pick any whole number from 1 to 10,000.

\sqrt{492} = 2\sqrt{123} \approx 22.181073

How to work it out

1
The square root of 492 is the number that multiplied by itself gives 492.
2
492 is between the perfect squares 22² = 484 and 23² = 529, so its square root is between 22 and 23.
3
Pull out the biggest square factor: 492 = 4 × 123, so
$\sqrt{492} = \sqrt{4 \times 123} = 2\sqrt{123}$
4
A calculator, or long division of digits, gives
$\sqrt{492} \approx 22.181073$

LaTeX source of the formulas on this page

\[ \sqrt{492} = 2\sqrt{123} \approx 22.181073 \]
\[ \sqrt{492} = \sqrt{4 \times 123} = 2\sqrt{123} \]
\[ \sqrt{492} \approx 22.181073 \]

What is the square root of 492?

The square root of 492 is 22.181073 (rounded to 6 decimal places). In simplest radical form it is 2√123.

Is 492 a perfect square?

No. It lies between 22² = 484 and 23² = 529.

What is 492 squared?

492 × 492 = 242064.

What is the square root of 492 rounded to 2 decimals?

22.18.