Question 10
SurdsSimplify 4 − 1/(2 − √3)
- A.2√3
- B.2 − √3
- C.−2 + √3
- D.2 − √3
Show the answer and explanation
Answer: D (2 − √3)
Explanation
Rationalise: 1/(2 − √3) = (2 + √3)/(4 − 3) = 2 + √3. Then 4 − (2 + √3) = 2 − √3.
Simplify 4 − 1/(2 − √3)
Answer: D (2 − √3)
Rationalise: 1/(2 − √3) = (2 + √3)/(4 − 3) = 2 + √3. Then 4 − (2 + √3) = 2 − √3.