√a(√a+√b)=3√b(√a+√b)求2a+3b+√ab分之a-b+√ab的值
问题描述：
√a(√a+√b)=3√b(√a+√b)求2a+3b+√ab分之a-b+√ab的值
答
√a(√a √b)=3√b(√a 5√b)
=>a √ab=3√ab 15b
=>a-2√ab-15b=0
=>(√a 3√b)(√a-5√b)=0
=>a=25b (a>0,b>0=>√a 3√b>0)
(2a 3b √ab)/(a-b)
=>(50b 3b 5b)/24b
=>29/12