Answer:
Option a is correct
Step-by-step explanation:
Given the expression
[tex]\sqrt5(8+3\sqrt6)[/tex]
we have to simplify the above expression.
Expression: [tex]\sqrt5(8+3\sqrt6)[/tex]
Using distributive identity
[tex]a.(b+c)=a.b+a.c[/tex]
Put [tex]a=\sqrt5, b=8, c=3\sqrt6[/tex]
[tex]\sqrt5(8+3\sqrt6)[/tex]
⇒ [tex]8\sqrt5+3\sqrt{5\times6}[/tex]
⇒ [tex]8\sqrt5+3\sqrt{30}[/tex]
Hence, option a is correct.
