Given that ((sqrt{3} – 5sqrt{2})(sqrt{3} + sqrt{2}) = p + qsqrt{6}), find q.
-
A.
4 -
B.
-4 -
C.
-5 -
D.
-7
Correct Answer: Option B
Explanation
((sqrt{3} – 5sqrt{2})(sqrt{3} + sqrt{2}) = 3 + sqrt{6} – 5sqrt{6} – 10)
= (-7 – 4sqrt{6} = p + qsqrt{6})
(therefore q = -4)