Express in simplest radical form. \[ 9 \sqrt{150}+\sqrt{24} \] Answer Attempt 1 out of 2

To express \( 9 \sqrt{150} + \sqrt{24} \) in simplest radical form, we start by simplifying each term. For \( \sqrt{150} \): \[ \sqrt{150} = \sqrt{25 \cdot 6} = \sqrt{25} \cdot \sqrt{6} = 5\sqrt{6} \] Thus, \( 9 \sqrt{150} = 9 \cdot 5 \sqrt{6} = 45 \sqrt{6} \). Next, for \( \sqrt{24} \): \[ \sqrt{24} = \sqrt{4 \cdot 6} = \sqrt{4} \cdot \sqrt{6} = 2\sqrt{6} \] Now, we combine the two simplified terms: \[ 45 \sqrt{6} + 2 \sqrt{6} = (45 + 2) \sqrt{6} = 47 \sqrt{6} \] Therefore, the expression in simplest radical form is: \[ \boxed{47 \sqrt{6}} \]