How do you simplify root3(54x)-root3(2x^4)?

1 Answer
Sep 1, 2016

(3-x)root(3)(2x)

Explanation:

you can substitute 54 by the product of its factors 2*3^3 and have the equivalent expression:

root(3)(2*3^3x)-root(3)(2x^3*x)

you can partially simplify:

root(3)(2x)*(root(3)(3^3))-root(3)(2x)*root(3)(x^3)

3root(3)(2x)-xroot(3)(2x)

(3-x)root(3)(2x)