Simplify: \( 6 \sqrt{80} \)

To simplify \( 6 \sqrt{80} \), we can start by breaking down \( \sqrt{80} \). The number 80 can be factored into \( 16 \times 5 \). Since \( 16 \) is a perfect square, we can take it out of the square root: \[ \sqrt{80} = \sqrt{16 \times 5} = \sqrt{16} \times \sqrt{5} = 4\sqrt{5}. \] Now substitute back into the original expression: \[ 6 \sqrt{80} = 6 \times 4\sqrt{5} = 24\sqrt{5}. \] So, the simplified form of \( 6 \sqrt{80} \) is \( 24 \sqrt{5} \).