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5. Prove that each of the following numbers is irrational:2(i1) 7 |
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Answer» Let as assume to the contrary that 1/√3 is rational number 1/√3= P/Q { where p and Q are co-prime and Q not equal to 0}√3 P =Q .1 √3 = Q/P √3 = Irrational numberQ/P =RationalIrrational not equal to rational this is a contradiction has arisen by the wrong assumption because of our incorrect assumption that 1 / √3 is rational.hence, 1/ √3 is irrational .{proved} |
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