Question 3
SurdsIf (2√3 − √2)/(√3 + 2√2) = m + n√6, find the values of m and n respectively.
- A.1, −2
- B.−2, 1
- C.−2/5, 1
- D.2, 3/5
Show the answer and explanation
Answer: B (−2, 1)
Explanation
Multiply top and bottom by (√3 − 2√2): the top becomes 6 − 4√6 − √6 + 4 = 10 − 5√6 and the bottom 3 − 8 = −5. So the value is −2 + √6, giving m = −2 and n = 1.