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Prove that 6+ V2 is irrational. |
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Answer» Explanation:ASSUME 6+root2 to be rational number.therefore it is equal to p/q where q is not equal to 0 and it belongs to integer.6+root2=p/q,(send 6 to RHS it BECOMES -6/1)root2=p/q-6(now TAKE LCM of qand 1, it becomes p-6q/q)p-6q /q is a rational number therefore root2 is also rational number.but according to the fact root2 is a irrational number therfore this contradiction has arisen because of our incorrect assumption.therefore 6+root2 is irrational. |
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