SOLUTION: (1-radical 2) (4+3 radical 5) and radical x+3= radical 5-x

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Question 78167: (1-radical 2) (4+3 radical 5)


and

radical x+3= radical 5-x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(1-radical 2) (4+3 radical 5)
=(1-sqrt2)*4 + (1-sqrt2)(3sqrt5)
=4-4sqrt2 + 3sqrt5--3sqrt10
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and
radical(x+3)= radical(5-x)
Square both sides to get:
x+3 = 5-x
2x=2
x=1
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Substitute to check the answer:
sqrt(1+3) =sqrt(5-1)
True
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So, x=1
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Cheers,
Stan H.