Square root of 6048

The square root of 6048 is 77.768888 (rounded to 6 decimal places). In simplest radical form it is 12√42.

Square root of 6048

Pick any whole number from 1 to 10,000.

\sqrt{6048} = 12\sqrt{42} \approx 77.768888

How to work it out

1
The square root of 6048 is the number that multiplied by itself gives 6048.
2
6048 is between the perfect squares 77² = 5929 and 78² = 6084, so its square root is between 77 and 78.
3
Pull out the biggest square factor: 6048 = 144 × 42, so
$\sqrt{6048} = \sqrt{144 \times 42} = 12\sqrt{42}$
4
A calculator, or long division of digits, gives
$\sqrt{6048} \approx 77.768888$

LaTeX source of the formulas on this page

\[ \sqrt{6048} = 12\sqrt{42} \approx 77.768888 \]
\[ \sqrt{6048} = \sqrt{144 \times 42} = 12\sqrt{42} \]
\[ \sqrt{6048} \approx 77.768888 \]

What is the square root of 6048?

The square root of 6048 is 77.768888 (rounded to 6 decimal places). In simplest radical form it is 12√42.

Is 6048 a perfect square?

No. It lies between 77² = 5929 and 78² = 6084.

What is 6048 squared?

6048 × 6048 = 36578304.

What is the square root of 6048 rounded to 2 decimals?

77.77.