SOLUTION: Hi, if there's any one who knows how to solve this problem i'd appreciate it, explaining how to find the solution to the problem is far more important then that actaul anwser. I'm

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Hi, if there's any one who knows how to solve this problem i'd appreciate it, explaining how to find the solution to the problem is far more important then that actaul anwser. I'm      Log On


   



Question 213542: Hi, if there's any one who knows how to solve this problem i'd appreciate it, explaining how to find the solution to the problem is far more important then that actaul anwser.
I'm not sure what symbol i can type for Radical Numbers so i'll use R to represent a Radical Number.
6R3 + 8R3 - 16R3 = ?
Find Simplest Form.
The Radical number is listed after the "R" Thank you!

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean 6%2Asqrt%283%29+%2B8%2Asqrt%283%29+-16%2Asqrt%283%29+"?

If so, then it's like combining like terms.
You know that 6x +8x -16x = -2x
You know that 6y+8y-16y =-2y

In this case, instead of combining "like terms," you are combining "like radicals." Since these are "like radicals", you can combine them like this:

6%2Asqrt%283%29+%2B8%2Asqrt%283%29+-16%2Asqrt%283%29+=-2%2Asqrt%283%29

For additional information on combining square roots, see my own website. You can do a "Bing" search for my last name "Rapalje". At the top of the search list, look for "Rapalje Homepage". Near the top of my Homepage, look for the link "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra" and look for Chapter 5 Radicals. This particular question is explained in Section 5.02 "Adding and Subtracting Radicals."

In addition to the written explanations, I now have free videos on a variety of topics, including "Square Roots". To find this page, look on my Homepage for "Rapalje Videos," and look in "Basic Algebra" for the video on "Radicals".

R^2

Dr. Robert J. Rapalje, Retired
Seminole Community College
Altamonte Springs Campus
Florida