Question

How do you multiply `\root[ 5] { 2x ^ { 3} } \cdot \root [ 5] { 3x }`?

Answer 1

See a solution process below:

Explanation:

Use this rule for radicals to multiply the two terms:

`root(n)(color(red)(a)) * root(n)(color(blue)(b)) = root(n)(color(red)(a) * color(blue)(b))`

`root(5)(color(red)(2x^3)) * root(5)(color(blue)(3x)) = root(5)(color(red)(2x^3) * color(blue)(3x)) => root(5)(6x^4)`