Answer:
12
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Given
[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]
Simplifying each radical
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
[tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]
Thus
[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]
= 2[tex]\sqrt{2}[/tex] × 3[tex]\sqrt{2}[/tex]
= 2 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]
= 6 × 2
= 12
