SOLUTION: Multiply: (5√[2] + 3)(√[2] - 2√[3]) Please show howyou get the answer??

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Question 28477: Multiply:
(5√[2] + 3)(√[2] - 2√[3])
Please show howyou get the answer??

Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply:
(5√[2] + 3)(√[2] - 2√[3])
=5√[2](√[2] - 2√[3]) + 3X(√[2] - 2√[3])
[using (a+b)(c+d) = a(c+d) + b(c+d) = (ac+ad)+(bc+bd), first term(along with the sign) of the first bracket multiplied with the whole of the next bracket plus the second term (along with the sign)of the first bracket multiplied with the whole of the next bracket]
=5√[2]X(√[2] - 5√[2]X 2√[3] + 3√[2] - 6√[3])
=5X(2)-10√[6]+ 3√[2] - 6√[3]) (we have √[a](√[b] = √[(ab)] )
=10-10√[6]+ 3√[2] - 6√[3])