Answer:
98-40√6
Option 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..
