Question

Add and subtract Square Roots that need Simplification Number 200

Answer 1

Given

`√(96d^9)\text{ -}√(24d^9)`

Solution

`√(16*6* d^8* d)-√(4*6* d^8* d)`

simplify

`\begin{gathered} =4√(6)d^4√(d)-2√(6)d^4√(d) \\ \end{gathered}`

Add Similiar element

`\begin{gathered} 4√(6)d^4√(d)-2√(6)d^4√(d) \\ =2√(6)d^4√(d) \end{gathered}`

The final answer

`=2√(6)d^4√(d)`