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Prove that Root3 + root5 is irrational |
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Answer» Let the possible root 3+root5 are rational in the form of p by q and q not equal to 0Root 3+root5=p/q Let as assume on contrary that\xa0:√3 +\xa0√5\xa0is a rational number.\xa0Then there exists co - prime integers p and q such that ⇒ √3\xa0is a rational number .\xa0But this contradicts the fact that\xa0√3 is irrational.So, our assumption is wrong.Hence,√3 +\xa0√5\xa0is irrational. |
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