Math, asked by harish611, 1 year ago

someone please help fast

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Answered by thoolikaasreebelli
0

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.

Answered by MissNerds
2

Answer: I hope this helps.


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