Question

Add and subtract square roots that need simplification Number 223

Answer 1

Given:-

`(5)/(6)√(27)+(5)/(8)√(48)`

To find the simplified form.

So now we simplify,

`\begin{gathered} (5)/(6)√(27)+(5)/(8)√(48)=(5)/(6)√(9*3)+(5)/(8)√(16*3) \\ =(5)/(6)*3*√(3)+(5)/(8)*4*√(3) \\ =(5)/(2)√(3)+(5)/(2)√(3) \\ =(10)/(2)√(3) \\ =5√(3) \end{gathered}`

So the required solution is 5 root 3.