SOLUTION: 2 sqrt 5/7 - 3 sqrt 7/5 + sqrt 140

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Question 474076: 2 sqrt 5/7 - 3 sqrt 7/5 + sqrt 140
Found 2 solutions by Tatiana_Stebko, edjones:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
Answer by edjones(8007) About Me  (Show Source):
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2 sqrt 5/7 - 3 sqrt 7/5 + sqrt 140
2sqrt(5)/sqrt(7) * sqrt(7)/sqrt(7) = 2sqrt(35)/7 Rationalize the denoinator
3sqrt(7)/sqrt(5) * sqrt(5)/sqrt(5) = 3sqrt(35)/5
sqrt(140)=sqrt(4*35)=2sqrt(35)
2sqrt(35)/7-3sqrt(35)/5+2sqrt(35)
=(10sqrt(35)-21sqrt(35)+70sqrt(35))/35
=59sqrt(35)/35
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Ed