SOLUTION: Hello :) Hope anyone can answer this :) thank you! The topic is rationalizing denominators using conjugates 2 sqrt(3) + sqrt(7) / 5 sqrt(3) — 2 sqrt(7) Hope anyone can help m

Algebra ->  Radicals -> SOLUTION: Hello :) Hope anyone can answer this :) thank you! The topic is rationalizing denominators using conjugates 2 sqrt(3) + sqrt(7) / 5 sqrt(3) — 2 sqrt(7) Hope anyone can help m      Log On


   

Question 993351: Hello :)
Hope anyone can answer this :) thank you!
The topic is rationalizing denominators using conjugates
2 sqrt(3) + sqrt(7) / 5 sqrt(3) — 2 sqrt(7)
Hope anyone can help me :)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The topic is rationalizing denominators using conjugates
2 sqrt(3) + sqrt(7) / 5 sqrt(3) — 2 sqrt(7)
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Multiply numerator and denominator by 5sqrt(3)+2sqrt(7) to get:
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[(2sqrt(3)+sqrt(7))*(5sqrt(3)+2sqrt(7)]/[25*3 - 4*7]
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= [10*3 +4sqrt(21)+5sqrt(21)+2*7]/47
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= [44 + 9sqrt(21)]/47
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Cheers,
Stan H.
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