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7-6√5 prove that its irrational

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7-6√5 prove that its irrational

Posted by V.Uthaya Kumar 7 years ago

CBSE > Class 10 > Mathematics

1 answers

Purvanshi Yadav 7 years ago

Let 7-6√5 as rational. It can be expressed in the form of p/q where p and q are co prime integers. 7-6√5=p/q 6√5=7-p/q √5=7q-p/6 Now since p and q are integers.So RHS is rational so LHS is also rational But we know that √5 is irrational This contradiction arises due to our incorrect assumption. This shows our assumption is wrong.So 7-6√5 is irrational. Hence proved :-)

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CBSE > Class 10 > Mathematics