Question Express in simplest radical form. \[ 8 \sqrt{10}-8 \sqrt{160} \]

To simplify the expression \( 8 \sqrt{10} - 8 \sqrt{160} \), we first simplify \( \sqrt{160} \). Noticing that \( 160 = 16 \times 10 \), we can rewrite it as follows: \[ \sqrt{160} = \sqrt{16 \times 10} = \sqrt{16} \times \sqrt{10} = 4 \sqrt{10} \] Now we can substitute this back into the expression: \[ 8 \sqrt{10} - 8 \sqrt{160} = 8 \sqrt{10} - 8(4 \sqrt{10}) = 8 \sqrt{10} - 32 \sqrt{10} \] Next, we combine like terms: \[ 8 \sqrt{10} - 32 \sqrt{10} = (8 - 32) \sqrt{10} = -24 \sqrt{10} \] Thus, the simplest radical form of the expression \( 8 \sqrt{10} - 8 \sqrt{160} \) is: \[ -24 \sqrt{10} \]