SOLUTION: How to find the EXACT value of √ (13)+(√ 2)+7/(3+ √ 2) OR sqrt of (13)+sqrt(2)+ 7/(3+sqrt 2) Please help me! Thanks a lot! :)

Algebra ->  Square-cubic-other-roots -> SOLUTION: How to find the EXACT value of √ (13)+(√ 2)+7/(3+ √ 2) OR sqrt of (13)+sqrt(2)+ 7/(3+sqrt 2) Please help me! Thanks a lot! :)      Log On


   

Question 509357: How to find the EXACT value of √ (13)+(√ 2)+7/(3+ √ 2)

OR sqrt of (13)+sqrt(2)+ 7/(3+sqrt 2)
Please help me! Thanks a lot! :)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
√ (13)+(√ 2)+7/(3+ √ 2)
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Multiply numerator and denominator by (3-sqrt(2)) to get:
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= [(3-sqrt(2))(sqrt(13)+sqrt(2)+7)/[9-2]
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= [3sqrt(13)+3sqrt(2)+21 - sqrt(26) - 2 - 7sqrt(2)]/7
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= [3sqrt(13) + - sqrt(26) - 4sqrt(2) + 19]/7
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Cheers,
Stan H.
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