Answer:
18
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
(- [tex]\frac{1}{2}[/tex][tex]\sqrt{2}[/tex] )( - 6[tex]\sqrt{18}[/tex])
= - [tex]\frac{1}{2}[/tex] × - 6 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{18}[/tex]
= 3 × [tex]\sqrt{36}[/tex]
= 3 × 6
= 18
