Answer:
- 3[tex]\sqrt{2}[/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{16r}[/tex] when r = 2
= [tex]\sqrt{32}[/tex]
= [tex]\sqrt{16(2)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex], hence
[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex] = - 3[tex]\sqrt{2}[/tex]
