Math, asked by rathika1695ias, 10 months ago

P.T 5+3√2 is an irrational number​

Answers

Answered by vedantp619
1

let 5+3 root 2 be an rational no.

so. 5+3 root 2 =a/b ,where b is not equal to 0

Step-by-step explanation:

5+3 root 2 =a/b

3 root 2 = a/b - 5

3 root 2 = a - 5b/b

root 2 = a - 5b / 3b

hence , rhs , root 2 is an irrational number

hence , lhs , (integer) - 5(integer) / 3(integer)

therefore this contradicts our assumption and hence p.t 5+3 root 2 is an irrational number

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