Question 7
SurdsIf x = 3 − √3, find x2 + 36/x2
- A.9
- B.18
- C.24
- D.27
Show the answer and explanation
Answer: C (24)
Explanation
x2 = 12 − 6√3. Then 36/x2 = 6/(2 − √3) = 6(2 + √3) = 12 + 6√3. Adding gives 24.
If x = 3 − √3, find x2 + 36/x2
Answer: C (24)
x2 = 12 − 6√3. Then 36/x2 = 6/(2 − √3) = 6(2 + √3) = 12 + 6√3. Adding gives 24.