Answer:
Step-by-step explanation:
Pat believes that [tex]\sqrt{2}+\sqrt{8}=(2)(2)^{\frac{1}{2}}[/tex]
[tex]\sqrt{2}+\sqrt{8}=\sqrt{2}+\sqrt{4\times 2}[/tex]
[tex]=\sqrt{2}+2\sqrt{2}[/tex]
[tex]=3\sqrt{2}[/tex]
[tex]=3(2)^{\frac{1}{2} }[/tex]
But [tex]2(2)^{\frac{1}{2}}\neq 3(2)^{\frac{1}{2}}[/tex]
Therefore, Pat's belief is not correct.
Camilla believes that [tex]\sqrt{2}+\sqrt{8}=3\sqrt{2}[/tex]
Which is correct as we have calculated above.
Therefore, [tex]\sqrt{2}+\sqrt{8}=3\sqrt{2}[/tex] will be the correct answer.
