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Plz answer. Its urgent. thanks​

Plz answer. Its urgent. thanks​-example-1
User Johnashu
by
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1 Answer

11 votes

Answer:


a = (5)/(18)


b = -(1)/(18)

Explanation:

You need to rationalize the fraction.


(1)/(5 + √(7)) = a + b√(7)


(1)/(5 + √(7)) * (5 - √(7))/(5 - √(7)) = a + b√(7)


(5 - √(7))/(25 - 7) = a + b√(7)


(5 - √(7))/(18) = a + b√(7)


(5)/(18) - (1)/(18)√(7) = a + b√(7)


a = (5)/(18)


b = -(1)/(18)

User Gennady
by
4.2k points