Simplify radicals

Simplify: 3√[24x4y8]           

24=8*3 Since it is cube

24=8*3

 Since it is cube root we have to make groups of power of 3

24=( 2*2*2)*3

 

x4  = x3 x       

 y8= y 3 y y 3 

Writing all these in the given expresson and taking out group of 3 terms out of cube root  we have  

            

2*y*yx : 3[3xy2

 

2y2x3[3xy2

   Answer