Question 7
SurdsSimplify (1 + √8)/(3 − √2).
- A.7 + √2
- B.7 + 7√2
- C.1 − 7√2
- D.1 + √2
Show the answer and explanation
Answer: D (1 + √2)
Explanation
Multiply top and bottom by 3 + √2: (1 + 2√2)(3 + √2)/7 = (7 + 7√2)/7 = 1 + √2.
Simplify (1 + √8)/(3 − √2).
Answer: D (1 + √2)
Multiply top and bottom by 3 + √2: (1 + 2√2)(3 + √2)/7 = (7 + 7√2)/7 = 1 + √2.