Question

Show that 2+root7 is irrational using contradiction

Answer 1

HERE IS THE SOLUTION FOR YOUR QUESTION;

Let, 2+√7 is RATIONAL.


So,

2+√7=0

=>√7=-2.


But we know that √7 is Irrational which is equal to -2 which is Rational.



Which Further Contradicts our statement.


Hence 2+√7 is Irrational.




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