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Given that √2is irrational prove that 5-√3is and irrational number |
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Answer» Bhai agar root 2 given h toh 5-root 2 hoga ya root 3 hoga glt h sawal Assume 5√3 to be Rational .....therefore it can be written in the form A/B right??So 5√3=a/b .........√3=a/5b.......here a /b is rational also dividing it by 5 it still stays rational that means rhs is rational but look carefully lhs is irrational.....therefore our contradiction is wrong 5√3 is irrational......also by logic rational * irrational will be irrational...... |
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