Упростить

и вычислить при и

1) (√a+√b) (a-√a√a+b) / (√a-√b) (√a+√b) - (√a-√b) (√a+√b) / (√a+√b) = (a-√a√b+b) / (√a-√b) - (√a-√b) = (a-√a√b+b-a+2√a√b-b) / (√a-√b) = √a√b / (√a-√b)

2) √a√b / (√a-√b) * (√a-√b) (√a+√b) / √a√b=√a+√b=1/3+1/6=3/6=1/2

Решение:

= ((asqrt (a) + bsqrt (b)) / (a-b) - sqrt (a) + sqrt (b)) * (a-b) / sqrt (ab) = (asqrt (a) + bsqrt (b) - asqrt (a) - bsqrt (b) + sqrt (b) a+sqrt (a) b) / (a-b) * (a-b) / sqrt (ab) =

=sqrt (ab) (sqrt (b) + sqrt (a)) / sqrt (ab) = sqrt (a) + sqrt (b).