Add and subtract Square Roots that need Simplification Number 200

Given
[tex]\sqrt{96d^9}\text{ -}\sqrt{24d^9}[/tex]Solution
[tex]\sqrt{16\times6\times d^8\times d}-\sqrt{4\times6\times d^8\times d}[/tex]simplify
[tex]\begin{gathered} =4\sqrt{6}d^4\sqrt{d}-2\sqrt{6}d^4\sqrt{d} \\ \end{gathered}[/tex]Add Similiar element
[tex]\begin{gathered} 4\sqrt{6}d^4\sqrt{d}-2\sqrt{6}d^4\sqrt{d} \\ =2\sqrt{6}d^4\sqrt{d} \end{gathered}[/tex]The final answer
[tex]=2\sqrt{6}d^4\sqrt{d}[/tex]