Question 558820: Rationalize the denominator and simplify.
6 over the cube root of 4.
help.
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! 
In order to rationalize this denominator, you need to multiply the denominator 4 times some number in order to get a perfect cube. The perfect cube is going to be 8, and you can get there by multiplying by 2. So, multiply the numerator and denomominator of this fraction by  , like this:
Reduce the fraction:
For additional examples and a non-traditional explanation, please see my website, and look for the page on Rationalizing Denominators. To go to my website, use the easy-to-spell and easy-to-remember link www.mathinlivingcolor.com. At the very bottom of this page, there is a link that will take you to my Homepage.
Once you are on my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Intermediate Algebra", and look in "Chapter 3," Section 3.04 Rationalizing Denominators for a complete explanation that my own students, before I retired, found a lot easier to understand than the published textbooks of that day. You should really like my MATH IN LIVING COLOR pages, where the most difficult problems are solved IN COLOR. In addition, I have a video of me teaching this topic before I retired. To find my video, look on my Homepage for the link "Rapalje Videos in Living Color." Choose Intermediate Algebra, then look for "Radicals and Fractional Exponents." I may have even solved this problem on the video!!
Everything on the website is FREE. If you find something you really like, just print your own copy of it!!
If anyone needs to contact me, especially about the website, my Email address is rapaljer@seminolestate.edu. I'll be glad to help you find an explanation on my website to help you with your algebra topic!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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