Answer:
3
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\frac{6\sqrt{2} }{\sqrt{8} }[/tex]
Simplify the denominator
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
Fraction reduces to
[tex]\frac{6\sqrt{2} }{2\sqrt{2} }[/tex] ← cancel the radical
= [tex]\frac{6}{2}[/tex] = 3
