Math, asked by FTZ, 1 year ago

Prove that 3 under root 2/5 is an irrational number


kavana73: let us assume that 3 + root 5 is a rational number
kavana73: P by Q is equal to 3 + root 5
kavana73: then cross multiplication
kavana73: then it will be q 3 + root 5 is equals to p
kavana73: squaring on both side
kavana73: then it will be
kavana73: Q square 3 + root 5 square is equals to p square

Answers

Answered by kavana73
1
let us assume that 3 root 2 by 5is a rational number

P by Q is equals to 3 under root 2 by 5

then it will be like 3 under root 2 by 5 q is equals to p

squaring on both sides

it becomes 3root2 by 5 square into Q square is equal to p²

then we have to consider that 3 under root 2 by 5 p²
then it also divides p

the three under root 2 by 5 is irrational number and please call is a rational number so this is a contradiction method Hansa resumption was wrong and 3 under root 2 by 5 is a rational number







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