Simplify (frac{5+sqrt{7}}{3+sqrt{7}}) A. 17-√7 B. 4-√7 C. 15+√7 D. 7-√7 Correct Answer: Option B Explanation (frac{5+sqrt{7}}{3+sqrt{7}}=frac{5+sqrt{7}}{3+sqrt{7}}times frac{3-sqrt{7}}{3-sqrt{7}}\ =frac{(5+sqrt{7})(3-sqrt{7})}{3^2…
Simplify (7frac{1}{12}-4frac{3}{4}+2frac{1}{2}) A. 4 B. 41/6 C. 45/6 D. 51/6 Correct Answer: Option C Explanation (7frac{1}{12}-4frac{3}{4}+2frac{1}{2}=5left(frac{1-9+6}{12}right)\ 5left(frac{-2}{12}right)\ =4left(frac{12-2}{12}right))…