Question

write an equivalent expression without a perfect square or perfect cub factor other than 1 in the radicand.
cubed root of 108

Write an expression for each product or quotient without a perfect square or perfect cube factor other than 1 in the radicand.
square root of 14 times square root of 21

Answer 1

1) cube root of 108 = 3 * cube root of 4 (since 108 = 27·4)

2) sqrt(14) * sqrt(21) = sqrt(294) = 7 * sqrt(6) (since 294 = 49·6)