SOLUTION: Did I do this equation right? 3 sqrt of 12 + 2 sqrt of 3 3 sqrt (4*3) + 2 sqrt 3 3+2+2 sqrt 3 7 sqrt 3 Is this correct?? thanks :)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Did I do this equation right? 3 sqrt of 12 + 2 sqrt of 3 3 sqrt (4*3) + 2 sqrt 3 3+2+2 sqrt 3 7 sqrt 3 Is this correct?? thanks :)       Log On


   

Question 251887: Did I do this equation right? 3 sqrt of 12 + 2 sqrt of 3
3 sqrt (4*3) + 2 sqrt 3
3+2+2 sqrt 3
7 sqrt 3
Is this correct?? thanks :)
Found 3 solutions by jim_thompson5910, richwmiller, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%2Asqrt%2812%29%2B2%2Asqrt%283%29 Start with the given expression


3%2A2%2Asqrt%283%29%2B2%2Asqrt%283%29 Simplify sqrt%2812%29 to get 2%2Asqrt%283%29. Note: If you need help with simplifying square roots, check out this solver.


6%2Asqrt%283%29%2B2%2Asqrt%283%29 Multiply 3 and 2 to get 6.

Since we have the common term sqrt%283%29, we can combine like terms


%286%2B2%29sqrt%283%29 Factor out the GCF sqrt%283%29


8%2Asqrt%283%29 Combine like terms.


So 3%2Asqrt%2812%29%2B2%2Asqrt%283%29 simplifies to 8%2Asqrt%283%29.


In other words, 3%2Asqrt%2812%29%2B2%2Asqrt%283%29=8%2Asqrt%283%29

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Close but no cigars.
3sqrt(12)=3*2(sqrt(3) =6sqrt(3) NOT 3+2sqrt(3)=5sqrt(3)
So we have 6sqrt(3)+2sqrt(3)=8sqrt(3)
BTW I appreciate your attempt at solving.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First thing, you do NOT have an equation. An equation has an equals sign in it somewhere. You have an expression that needs to be simplified. And, no you did not do it correctly.





So far, so good, but I cannot fathom your thought process to get you to what you say is the next step, hence here is where I have to depart from your path.












John