Square root of 6080

The square root of 6080 is 77.974355 (rounded to 6 decimal places). In simplest radical form it is 8√95.

Square root of 6080

Pick any whole number from 1 to 10,000.

\sqrt{6080} = 8\sqrt{95} \approx 77.974355

How to work it out

1
The square root of 6080 is the number that multiplied by itself gives 6080.
2
6080 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: 6080 = 64 × 95, so
$\sqrt{6080} = \sqrt{64 \times 95} = 8\sqrt{95}$
4
A calculator, or long division of digits, gives
$\sqrt{6080} \approx 77.974355$

LaTeX source of the formulas on this page

\[ \sqrt{6080} = 8\sqrt{95} \approx 77.974355 \]
\[ \sqrt{6080} = \sqrt{64 \times 95} = 8\sqrt{95} \]
\[ \sqrt{6080} \approx 77.974355 \]

What is the square root of 6080?

The square root of 6080 is 77.974355 (rounded to 6 decimal places). In simplest radical form it is 8√95.

Is 6080 a perfect square?

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

What is 6080 squared?

6080 × 6080 = 36966400.

What is the square root of 6080 rounded to 2 decimals?

77.97.