Question

Add and subtract Square Roots that need Simplification Number 200

Answer 1

Given

$\sqrt{96d^9}\text{ -}\sqrt{24d^9}$

Solution

$\sqrt{16\times6\times d^8\times d}-\sqrt{4\times6\times d^8\times d}$

simplify

$\begin{gathered} =4\sqrt{6}d^4\sqrt{d}-2\sqrt{6}d^4\sqrt{d} \\ \end{gathered}$

Add Similiar element

$\begin{gathered} 4\sqrt{6}d^4\sqrt{d}-2\sqrt{6}d^4\sqrt{d} \\ =2\sqrt{6}d^4\sqrt{d} \end{gathered}$

The final answer

$=2\sqrt{6}d^4\sqrt{d}$