Question 8
SurdsGiven that (√3 − 5√2)(√3 + √2) = p + q√6, find q.
- A.4
- B.−4
- C.−5
- D.−7
Show the answer and explanation
Answer: B (−4)
Explanation
Expand: 3 + √6 − 5√6 − 10 = −7 − 4√6, so p = −7 and q = −4.
Given that (√3 − 5√2)(√3 + √2) = p + q√6, find q.
Answer: B (−4)
Expand: 3 + √6 − 5√6 − 10 = −7 − 4√6, so p = −7 and q = −4.