Answer:
- 4[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{18}[/tex] using this rule
[tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]
Then
- 2[tex]\sqrt{18}[/tex] + 2[tex]\sqrt{2}[/tex]
= - 2(3[tex]\sqrt{2}[/tex] ) + 2[tex]\sqrt{2}[/tex]
= - 6[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{2}[/tex]
= - 4[tex]\sqrt{2}[/tex]
