SOLUTION: Please help. I am supposed to multiply and simplify by factoring: Square root 2b^5 sqrt22c^6

Question 222431: Please help. I am supposed to multiply and simplify by factoring:
Square root 2b^5 sqrt22c^6

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Is this a product of square roots? If so, then

Next, sort this out into two separate square roots to put all the perfect squares in the first square root and the leftover factors in the second square root like this:

Simplify the first square root, the second square root stays as it is!

For additional explanation on Square Roots, please see my own website. Do a "Bing" search for my last name "Rapalje". Look for "Rapalje Homepage" near the top of the search list. On my Homepage near the top, look for the link "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in Chapter 5 for several topics on SQUARE ROOTS, in particular, Section 5.01. In these sections, you will find my own non-traditional explanations, that my own students all said were a LOT easier to understand than traditional textbooks. See also the corresponding "MATH IN LIVING COLOR" pages in which problems are solved IN COLOR! I also have FREE videos on the website of me teaching my classes a few years ago. To access the videos, go back to my Homepage, and look for the link "Rapalje Videos in Living Color." Select "Basic Algebra", and select the video on Radicals (Square Roots!).

R^2

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

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