Simplify ((25)^{frac{-1}{2}} times (27)^{frac{1}{3}} + (121)^{frac{-1}{2}} times (625)^{frac{-1}{4}}) A.34/55 B.9/11 C.14/5 D.3/275 Correct Answer: Option A Explanation (25)(^{frac{-1}{2}}) x (27)(^{frac{1}{3}})…
Evaluate (frac{2}{6-5sqrt{3}}) A. (-left(frac{12}{39}-frac{10sqrt{3}}{39}right)) B. (frac{12}{39}-frac{10sqrt{3}}{39}) C. (-left(frac{12}{39}+frac{10sqrt{3}}{39}right)) D. (frac{12}{39}+frac{10sqrt{3}}{39}) Correct Answer: Option A Explanation (frac{2}{6-5sqrt{3}} = frac{2}{6-5sqrt{3}}…
simplify (frac{frac{7}{9}-frac{2}{3}}{frac{1}{3}+frac{frac{2}{5}}{frac{4}{5}}}) A. (frac{11}{12}) B. (frac{5}{6}) C. (frac{1}{5}) D. (frac{2}{15}) Correct Answer: Option D Explanation (frac{frac{7}{9}-frac{2}{3}}{frac{1}{3}+frac{frac{2}{5}}{frac{4}{5}}}\ =frac{frac{7-6}{9}}{frac{1}{3}+frac{frac{2}{5}}{frac{4}{5}}}\ =frac{frac{1}{9}}{frac{1}{3}+left(frac{2}{5}times…