SOLUTION: 7 + square root 5 over 3 + square root 5 = ? ...is the answer 4 - square root 5?

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Question 194079This question is from textbook Saxon Algebra 2
: 7 + square root 5 over 3 + square root 5 = ?
...is the answer 4 - square root 5?
 This question is from textbook Saxon Algebra 2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
7 + square root 5 over 3 + square root 5 = ?
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(7+sqrt(5))/(3+sqrt(5))
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Multiply numerator and denominator by (3-sqrt(5)) to get:
[(7+sqrt(5)(3-sqrt(5))]/(9-5)
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= (21-5-4sqrt(5))/4
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= 4 - sqrt(5)
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You are correct.
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Cheers,
Stan H.