Square root of 6072

The square root of 6072 is 77.923039 (rounded to 6 decimal places). In simplest radical form it is 2√1518.

Square root of 6072

Pick any whole number from 1 to 10,000.

\sqrt{6072} = 2\sqrt{1518} \approx 77.923039

How to work it out

1
The square root of 6072 is the number that multiplied by itself gives 6072.
2
6072 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: 6072 = 4 × 1518, so
$\sqrt{6072} = \sqrt{4 \times 1518} = 2\sqrt{1518}$
4
A calculator, or long division of digits, gives
$\sqrt{6072} \approx 77.923039$

LaTeX source of the formulas on this page

\[ \sqrt{6072} = 2\sqrt{1518} \approx 77.923039 \]
\[ \sqrt{6072} = \sqrt{4 \times 1518} = 2\sqrt{1518} \]
\[ \sqrt{6072} \approx 77.923039 \]

What is the square root of 6072?

The square root of 6072 is 77.923039 (rounded to 6 decimal places). In simplest radical form it is 2√1518.

Is 6072 a perfect square?

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

What is 6072 squared?

6072 × 6072 = 36869184.

What is the square root of 6072 rounded to 2 decimals?

77.92.