Represent the following mixed infinite decimal periodic fractions as common fractions:
2√b√a+√b+(a3/2+b3/2√a+√b−1(ab)−1/2)(a−b)−1
2√b√a+√b+(a32+b32√a+√b−1(ab)−12)(a−b)−1
=2√b√a+√b+((√a+√b)(a+b−√ab)(√a+√b)−√ab)(a−b)−1
=2√b√a+√b+(a+b−2√ab)(√a−√b)(√a+√b)
=2√b√a+√b+(√a−√b)2(√a−√b)(√a+√b)
=2√b+√a−√b√a+√b
=√a+√b√a+√b=1