Question

Rationalize the Denominator and simplify.

Answer 1

\[\sqrt[3]{\frac{ y }{ 4 }}+\sqrt[3]{\frac{ y }{ 32 }}-\sqrt[3]{\frac{ y }{ 108 }}\]

Answer 2

HI!!

Answer 3

multiply top and bottom of each by \(\sqrt[3]{2}\)

Answer 4

for example \[\sqrt[3]{\frac{y}{4}}\times \sqrt[3]{\frac{2}{2}}\]\[=
{\sqrt[3]\frac{2y}{8}}=\frac{\sqrt[3]{2y}}{2}\]

Answer 5

That gives us \[\frac{ \sqrt[3]{2y} }{ 2 }+\frac{ \sqrt[3]{2y} }{ 4}-\frac{ \sqrt[3]{2y} }{ 6 }\]

Answer 6

Is this the final answer? or how do you simplify it?

Answer 7

@ganeshie8 can you help me, is this final answer or do i need simplify?