SOLUTION: (ab cube root of (2a2b2)) multiplied by (2a cube root of (4ab2))

Question 316413: (ab cube root of (2a2b2)) multiplied by (2a cube root of (4ab2))
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
When you multiply radicals, multiply the quantity OUTSIDE the radical times the quantity OUTSIDE the radical and keep it OUTSIDE the radical. Then multiply the quantity INSIDE the radical times the quantity INSIDE the radical and keep it INSIDE the radical, like this:

Now, simplify the radical:

For more help with RADICALS, please see my OWN website by clicking on my tutor name "rapaljer" anywhere in algebra.com. There you will find the link to my website. From my Homepage, look for my non-traditinal curriculum on the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose either "Basic Algebra" or "Intermediate Algebra", depending upon what level you are studying. I recommend starting with Basic Algebra, and if this looks too easy for you, then take a look at Intermediate Algebra! In Basic Algebra, look in Chapter 5 for Section 5.02 for cube root problems. Sections 5.04 for Square Roots. For Intermediate Algebra, look in Chapter 3 for Section 3.02 Operations with Radicals. These sections are also supported by the "Math in Living Color" pages where many of my execises are solved IN COLOR.

In addition to all of this written explanation, I have FREE VIDEOS of me teaching in some of my classes a few years ago before I retired. To see the videos, from my Homepage, look for the link "Rapalje Videos in Living Color." There is a video on "Radicals" in both Basic Algebra and Intermediate Algebra.

If you like my curriculum and videos, please recommend my website to your friends and relatives. I know a LOT of people have trouble with math, and I tried to provide a FREE resource, with LOTS of PRACTICE TESTS with detailed SOLUTIONS, written in a way that "non-math" folks can understand it.

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

RELATED QUESTIONS
what is the cube root of 5 multiplied by cube root of... (answered by unlockmath)

cube root of 16(m^2)(n) multiplied by cube root of... (answered by nyc_function)

cube root of 175 divided by cube root of... (answered by checkley77,Mathtut)

cube root of 2 divided by cube root of... (answered by stanbon)

Cube root of 25x multiply by cube root of... (answered by stanbon)

3 times the cube root of 2a - 6 times the cube root of... (answered by stanbon)

cube root of... (answered by Alan3354)

cube root of... (answered by rfer)

cube root of... (answered by Alan3354)