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If x is rational and y irrational that show (x+√y) is irrational |
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Answer» Answer: Let US assume to the contrary that x+√y is rational So x+√y can be written in the form a/B,where a and b are co-primes and b not EQUAL to 0 x+√y=a/b √y=a/b-x √y=a-bx/b Since x,a,b are all integers, therefore they are rational But this contradicts the fact that√y is irrational Hence our assumption is incorrect. Therefore x+√y is irrational. if useful PLEASE MARK me brainliest Read more on Brainly.in - brainly.in/question/9037879#readmore |
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