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Prove that 5+√3 is irrational ,given √3is irrational |
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Answer» Answer: make me as brainliest and thank me and rate me Step-by-step EXPLANATION: LET us assume to the contrary that 5-root3 is rational =>5-root3=a/b (where a and b are CO primes and b not equal to zero) =>root3=5b-a/b Here a and b are integers, so 5-a/b is rational , hence root3 is also rational. But this contradicts our fact that ROOT 3 is irrational. This contradiction has arisen bcoz of our incorrect assumption that 5-root3 is rational. hence 5-root3 is irrational |
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