SOLUTION: How do you multiply, add etc radicals and then factor? The prob is (1 + sq root of 3)squared. Please help. Thnx

Algebra ->  Radicals -> SOLUTION: How do you multiply, add etc radicals and then factor? The prob is (1 + sq root of 3)squared. Please help. Thnx      Log On


   

Question 95312: How do you multiply, add etc radicals and then factor? The prob is (1 + sq root of 3)squared. Please help. Thnx
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2Bsqrt%283%29%29%5E2 Start with the given expression
%281%2Bsqrt%283%29%29%281%2Bsqrt%283%29%29 Expand %281%2Bsqrt%283%29%29%5E2 to get %281%2Bsqrt%283%29%29%281%2Bsqrt%283%29%29

1%2A1%2B1%2Asqrt%283%29%2B1%2Asqrt%283%29%2Bsqrt%283%29%2Asqrt%283%29 Foil

1%2Bsqrt%283%29%2Bsqrt%283%29%2B3 Multiply (note: sqrt%283%29%2Asqrt%283%29=%28sqrt%283%29%29%5E2=3

2sqrt%283%29%2B4 Combine like terms


2%28sqrt%283%29%2B2%29 Factor out the GCF 2