Square root of 8048

The square root of 8048 is 89.710646 (rounded to 6 decimal places). In simplest radical form it is 4√503.

Square root of 8048

Pick any whole number from 1 to 10,000.

\sqrt{8048} = 4\sqrt{503} \approx 89.710646

How to work it out

1
The square root of 8048 is the number that multiplied by itself gives 8048.
2
8048 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 8048 = 16 × 503, so
$\sqrt{8048} = \sqrt{16 \times 503} = 4\sqrt{503}$
4
A calculator, or long division of digits, gives
$\sqrt{8048} \approx 89.710646$

LaTeX source of the formulas on this page

\[ \sqrt{8048} = 4\sqrt{503} \approx 89.710646 \]
\[ \sqrt{8048} = \sqrt{16 \times 503} = 4\sqrt{503} \]
\[ \sqrt{8048} \approx 89.710646 \]

What is the square root of 8048?

The square root of 8048 is 89.710646 (rounded to 6 decimal places). In simplest radical form it is 4√503.

Is 8048 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 8048 squared?

8048 × 8048 = 64770304.

What is the square root of 8048 rounded to 2 decimals?

89.71.