Answer :
Answer:
14[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] [tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex]
Then
8[tex]\sqrt{5}[/tex] + 2(3[tex]\sqrt{5}[/tex])
= 8[tex]\sqrt{5}[/tex] + 6[tex]\sqrt{5}[/tex]
= 14[tex]\sqrt{5}[/tex]