SOLUTION: Add sqrt 4x + sqrt 81x^3

Algebra ->  Radicals -> SOLUTION: Add sqrt 4x + sqrt 81x^3      Log On


   

Question 172243This question is from textbook Introductory Algebra
: Add
sqrt 4x + sqrt 81x^3 This question is from textbook Introductory Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Add
sqrt%284x%29 + sqrt%2881x%5E3%29
Factor inside radicals to reveal the perfect squares:
sqrt%282%2A2x%29 + sqrt%289%2A9%2Ax%2Ax%2Ax%29
extract the perfect squares:
2%2Asqrt%28x%29 + 9x%2Asqrt%28x%29
Simplify to:
sqrt%282%29%289x%2B2%29