Math, asked by toonanime1248, 4 months ago

PROVE √7+√5 is irrational​

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Answered by mansijuyal44
0

Answer:

Given :  7 − √5  LET US ASSUME THAT 7 − √5 IS RATIONAL NUMBER  ∴ 7 − √5 = a/b (a,b ∈ z , where b ≠ 0)  −√5 = a/b − 7  √5 = 7 − a/b IF a,b ARE INTEGERS THEN 7 − a/b IS RATIONAL NUMBER.  SO √5 IS ALSO A RATIONAL NUMBER.  BUT THIS CONTRADICTS THE FACT THAT √2 IS IRRATIONAL.  ∴ WE CONCLUDE THAT 7 − √5 IS IRRATIONAL NUMBER.Read more on Sarthaks.com - https://www.sarthaks.com/2956/prove-that-7-root-5-is-an-irrational-number

Answered by pandunandhu
0

Mark me as brainliest as i am new

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