SOLUTION: Multiply: (5√[2] + 3)(√[2] � 2√[3])

Question 111589: Multiply:
(5√[2] + 3)(√[2] � 2√[3])

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Multiply:
(5√[2] + 3)(√[2] � 2√[3])
-------------
Use FOIL:
F: 5sqrt(2) * sqrt(2) = 10
O: 5sqrt(2) * -2sqrt(3) = -10sqrt(6)
I: 3 * sqrt(2) = 3sqrt(2)
L: 3*-2sqrt(3) = -6sqrt(3)
-----------------
Combine to get:
10(1-sqrt(6))+3(sqrt2-2sqrt(3)
==============
Comment: Are you sure that "3" in the problem you posted is
not really "sqrt(3)"??
===========
Cheers,
Stan H.

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Since , and (in your case numbers )
then we have:

��

Note that
is not necessarily true when dealing with numbers that are

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SOLUTION: Multiply: (5&#8730;[2] + 3)(&#8730;[2] � 2&#8730;[3])

SOLUTION: Multiply: (5√[2] + 3)(√[2] � 2√[3])