Given that ((sqrt{3} - 5sqrt{2})(sqrt{3} + sqrt{2}) = p + qsqrt{6}), find q.
FURTHER MATHEMATICSWAEC 2006
Given that \((\sqrt{3} - 5\sqrt{2})(\sqrt{3} + \sqrt{2}) = p + q\sqrt{6}\), find q.
- A. 4
- B. -4
- C. -5
- D. -7
Correct Answer: B. -4
Explanation
\((\sqrt{3} - 5\sqrt{2})(\sqrt{3} + \sqrt{2}) = 3 + \sqrt{6} - 5\sqrt{6} - 10\)
= \(-7 - 4\sqrt{6} = p + q\sqrt{6}\)
\(\therefore q = -4\)
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