Question

Racionalize $\frac{1}{\sqrt[3]{4}}$

Answer 1

1/∛4 =1/(4^(1/3)

[ 1/(4^(1/3) ] * [4^(2/3)/4^(2/3)]

=4^(2/3) / [4^(1/3) * 4^(2/3)]

=4^(2/3) / [4^(1/3+2/3)]

=4^(2/3) / [ 4^(3/3)]

=4^(2/3) / 4

=∛(2/3) / 4