Answer to Question #69162 in Algebra for srinvasa rao

Question

1.Find the values of a and b in each of the following:
i) (5+2√3) / (7+4√3) = a−6√3
ii) (3−√5) / (3+2√5) = a√5−9/11
iii) (√2+√3) / (3√2−2√3) = 2−b√6
iv) (7+√5) / (7−√5) - (7−√5) / (7+√5) = a+7/11√5 b

2.If a=2+√3, then find the value of a - 1/a

3.If a=3+√5 / 2, then find the value of a^2 + 1/a^2

4.Simplify: (7√3) / (√10 + √3) - (2√5) / (√6 +√5 ) - (3√2) / (√15 + 3√2)