Answer:
D
Step-by-step explanation:
using the rule of radicals
• [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
simplifying [tex]\sqrt{32}[/tex]
[tex]\sqrt{32}[/tex] = [tex]\sqrt{16(2)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
[tex]\sqrt{32}[/tex] + 5[tex]\sqrt{2}[/tex]
= 4[tex]\sqrt{2}[/tex] + 5[tex]\sqrt{2}[/tex] = 9[tex]\sqrt{2}[/tex] → D
