Square root of 4496

The square root of 4496 is 67.052218 (rounded to 6 decimal places). In simplest radical form it is 4√281.

Square root of 4496

Pick any whole number from 1 to 10,000.

\sqrt{4496} = 4\sqrt{281} \approx 67.052218

How to work it out

1
The square root of 4496 is the number that multiplied by itself gives 4496.
2
4496 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: 4496 = 16 × 281, so
$\sqrt{4496} = \sqrt{16 \times 281} = 4\sqrt{281}$
4
A calculator, or long division of digits, gives
$\sqrt{4496} \approx 67.052218$

LaTeX source of the formulas on this page

\[ \sqrt{4496} = 4\sqrt{281} \approx 67.052218 \]
\[ \sqrt{4496} = \sqrt{16 \times 281} = 4\sqrt{281} \]
\[ \sqrt{4496} \approx 67.052218 \]

What is the square root of 4496?

The square root of 4496 is 67.052218 (rounded to 6 decimal places). In simplest radical form it is 4√281.

Is 4496 a perfect square?

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

What is 4496 squared?

4496 × 4496 = 20214016.

What is the square root of 4496 rounded to 2 decimals?

67.05.