Answer:
20[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]
Simplify
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
Thus
6[tex]\sqrt{8}[/tex] + 8[tex]\sqrt{2}[/tex]
= 6(2[tex]\sqrt{2}[/tex] ) + 8[tex]\sqrt{2}[/tex]
= 12[tex]\sqrt{2}[/tex] + 8[tex]\sqrt{2}[/tex]
= 20[tex]\sqrt{2}[/tex]
