化简根号x^2/2y^3(x＞0)

题目

化简根号x^2/2y^3(x＞0)

答案

依题意,y>0
所以：
根号(x^2/2y^3)
=根号[(x^2*2y)/(2y^3*2y)]
=根号[(2x^2*y)/(4y^4)]
=x/(2y^2)*根号(2y)