Given that √2 is irrational, prove that (11-5√2 ) is an irrational number.
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Given that √2 is irrational, prove that (11-5√2 ) is an irrational number.
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ANSWER:
GIVEN:
TO PROVE:
SOLUTION:
Let (11-5√2) be a rational number which can be expressed in the form of p/q where p and q have no other common factor than 1.
Here :
NOTE: