Given:-
[tex]\frac{5}{6}\sqrt{27}+\frac{5}{8}\sqrt{48}[/tex]
To find the simplified form.
So now we simplify,
[tex]\begin{gathered} \frac{5}{6}\sqrt{27}+\frac{5}{8}\sqrt{48}=\frac{5}{6}\sqrt{9\times3}+\frac{5}{8}\sqrt{16\times3} \\ =\frac{5}{6}\times3\times\sqrt{3}+\frac{5}{8}\times4\times\sqrt{3} \\ =\frac{5}{2}\sqrt{3}+\frac{5}{2}\sqrt{3} \\ =\frac{10}{2}\sqrt{3} \\ =5\sqrt{3} \end{gathered}[/tex]
So the required solution is 5 root 3.
