Question 9
SurdsSimplify (5 + √7)/(3 + √7)
- A.17 − √7
- B.4 − √7
- C.15 + √7
- D.7 − √7
Show the answer and explanation
Answer: B (4 − √7)
Explanation
Multiply top and bottom by 3 − √7: (15 − 5√7 + 3√7 − 7)/(9 − 7) = (8 − 2√7)/2 = 4 − √7.
Simplify (5 + √7)/(3 + √7)
Answer: B (4 − √7)
Multiply top and bottom by 3 − √7: (15 − 5√7 + 3√7 − 7)/(9 − 7) = (8 − 2√7)/2 = 4 − √7.