SOLUTION: Multiply ( √(3x) - √2)2 assume all variables represent positive numbers

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Question 220281: Multiply ( √(3x) - √2)2
assume all variables represent positive numbers
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%283x%29-sqrt%282%29%29%5E2

%28sqrt%283x%29-sqrt%282%29%29%2A%28sqrt%283x%29+-+sqrt%282%29%29

FOIL this out and get

3x+-sqrt%283x%29%2Asqrt%282%29+-+sqrt%283x%29%2Asqrt%282%29+%2B+2
3x+-sqrt%286x%29+-+sqrt%286x%29+%2B+2
3x%2B2+-2sqrt%286x%29

See also my own non-traditional explanation of this topic on my own website. Do a "Bing" search for my last name "Rapalje". Look for "Rapalje Homepage" near the top of the search list. Near the top of my Homepage, look for "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", look for "Chapter 5" on Square Roots and Radicals. Your particular problem here relates to my section called "Section 5.04 Multiplying Square Roots." This section is also supplemented by the corresponding section of "MATH IN LIVING COLOR" and also a video of me teaching my class on the topic of Square Roots. You can see the video FREE by looking on my Homepage for "Rapalje Videos." I think I hava a LOT of resources available FREE on this website. Let me know if you find it helpful.

R^2

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