化简:a/(a+2b)√[(a²+4ab²+4b³/a](a>0,b>0)

问题描述:

化简:a/(a+2b)√[(a²+4ab²+4b³/a](a>0,b>0)

a/(a+2b)√[(a²b+4ab²+4b³/a]=a/(a+2b)√[b(a+2b)^2/a]
=a√[b/a]=√b