Square root of 4492

The square root of 4492 is 67.022384 (rounded to 6 decimal places). In simplest radical form it is 2√1123.

Square root of 4492

Pick any whole number from 1 to 10,000.

\sqrt{4492} = 2\sqrt{1123} \approx 67.022384

How to work it out

1
The square root of 4492 is the number that multiplied by itself gives 4492.
2
4492 is between the perfect squares 67² = 4489 and 68² = 4624, so its square root is between 67 and 68.
3
Pull out the biggest square factor: 4492 = 4 × 1123, so
$\sqrt{4492} = \sqrt{4 \times 1123} = 2\sqrt{1123}$
4
A calculator, or long division of digits, gives
$\sqrt{4492} \approx 67.022384$

LaTeX source of the formulas on this page

\[ \sqrt{4492} = 2\sqrt{1123} \approx 67.022384 \]
\[ \sqrt{4492} = \sqrt{4 \times 1123} = 2\sqrt{1123} \]
\[ \sqrt{4492} \approx 67.022384 \]

What is the square root of 4492?

The square root of 4492 is 67.022384 (rounded to 6 decimal places). In simplest radical form it is 2√1123.

Is 4492 a perfect square?

No. It lies between 67² = 4489 and 68² = 4624.

What is 4492 squared?

4492 × 4492 = 20178064.

What is the square root of 4492 rounded to 2 decimals?

67.02.