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Rationalize the denominator 1/7-3√2

Rationalize the denominator 1/7-3√2
asked 44.2k views
4 votes
Rationalize the denominator 1/7-3√2

asked
User Brandon Culley
by
8.8k points

1 Answer

1 vote

Answer:


(7 + 3√(2))/(31)

Explanation:


(1)/(7 - 3√(2)) =


= (1)/(7 - 3√(2)) * (7 + 3√(2))/(7 + 3√(2))


= (7 + 3√(2))/(49 - 9(√(2))^2)


= (7 + 3√(2))/(31)

answered
User Richard Kennard
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