Answer:
first option
Step-by-step explanation:
using the property of radicals
• [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
given
[tex]\sqrt{5}[/tex] (8 + 3[tex]\sqrt{6}[/tex] ) ← distribute parenthesis by [tex]\sqrt{5}[/tex]
= 8[tex]\sqrt{5}[/tex] + 3 [tex]\sqrt{6}[/tex] × [tex]\sqrt{5}[/tex]
= 8[tex]\sqrt{5}[/tex] + 3 × [tex]\sqrt{6(5)}[/tex]
= 8[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{30}[/tex]
