Square root of 2492

The square root of 2492 is 49.919936 (rounded to 6 decimal places). In simplest radical form it is 2√623.

Square root of 2492

Pick any whole number from 1 to 10,000.

\sqrt{2492} = 2\sqrt{623} \approx 49.919936

How to work it out

1
The square root of 2492 is the number that multiplied by itself gives 2492.
2
2492 is between the perfect squares 49² = 2401 and 50² = 2500, so its square root is between 49 and 50.
3
Pull out the biggest square factor: 2492 = 4 × 623, so
$\sqrt{2492} = \sqrt{4 \times 623} = 2\sqrt{623}$
4
A calculator, or long division of digits, gives
$\sqrt{2492} \approx 49.919936$

LaTeX source of the formulas on this page

\[ \sqrt{2492} = 2\sqrt{623} \approx 49.919936 \]
\[ \sqrt{2492} = \sqrt{4 \times 623} = 2\sqrt{623} \]
\[ \sqrt{2492} \approx 49.919936 \]

What is the square root of 2492?

The square root of 2492 is 49.919936 (rounded to 6 decimal places). In simplest radical form it is 2√623.

Is 2492 a perfect square?

No. It lies between 49² = 2401 and 50² = 2500.

What is 2492 squared?

2492 × 2492 = 6210064.

What is the square root of 2492 rounded to 2 decimals?

49.92.