Square root of 4048

The square root of 4048 is 63.623895 (rounded to 6 decimal places). In simplest radical form it is 4√253.

Square root of 4048

Pick any whole number from 1 to 10,000.

\sqrt{4048} = 4\sqrt{253} \approx 63.623895

How to work it out

1
The square root of 4048 is the number that multiplied by itself gives 4048.
2
4048 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.
3
Pull out the biggest square factor: 4048 = 16 × 253, so
$\sqrt{4048} = \sqrt{16 \times 253} = 4\sqrt{253}$
4
A calculator, or long division of digits, gives
$\sqrt{4048} \approx 63.623895$

LaTeX source of the formulas on this page

\[ \sqrt{4048} = 4\sqrt{253} \approx 63.623895 \]
\[ \sqrt{4048} = \sqrt{16 \times 253} = 4\sqrt{253} \]
\[ \sqrt{4048} \approx 63.623895 \]

What is the square root of 4048?

The square root of 4048 is 63.623895 (rounded to 6 decimal places). In simplest radical form it is 4√253.

Is 4048 a perfect square?

No. It lies between 63² = 3969 and 64² = 4096.

What is 4048 squared?

4048 × 4048 = 16386304.

What is the square root of 4048 rounded to 2 decimals?

63.62.