Вправи 501 - 595 » 536 (5-6)

5) a/(√ab- b) + √b/(√b- √a) = a/(√ab- (√b )^2 ) + √b/(√b- √a) = a/(√b (√a- √b) ) – 〖√b〗^(\√b)/((√a- √b)) = (a-(√b )^2)/(√b(√a- √b)) = ((√a )^2- (√b )^2)/(√b(√a- √b)) = ((√a- √b)(√a+ √b))/(√b(√a- √b)) = (√a+ √b)/√b; 6) (a+ √a)/√b • b/(2√a+ 2) = ((√a )^2+ √a)/√b • ((√b )^2)/(2√a+ 2) = (√a (√a+ 1) • (√b))/(2√b(√a+ 1)) = √ab/2;