Q:

What is the following product?

Accepted Solution

A:
Answer:98-40√6Option D is the right option.solution,[tex](5 \sqrt{2} - 4 \sqrt{3} )(5 \sqrt{2} - 4 \sqrt{3} ) \\ [/tex]Write in the exponential form:[tex](5 \sqrt{2} - 4 \sqrt{3} ) ^{2} [/tex]Using (a-b)^2=a^2-2ab+b^2 ,expand:[tex](5 \sqrt{2}) ^{2} - 2 \times 5 \sqrt{2} \times 4 \sqrt{3} + (4 \sqrt{3} ) ^{2} [/tex][tex] = 50 - 40 \sqrt{6} + 48[/tex][tex] = 50 + 48 - 40 \sqrt{6} [/tex]Calculate:[tex]98 - 40 \sqrt{6} [/tex]Hope this helps...Good luck on your assignment..