Question

prove that root 5 minus 3 root 2 is an irrational number

Answer 1

Step-by-step explanation:

let's assume that 5-root 3 is rational

then it can be written in the form of

5 - root 3 = p/qor 5 - p/q = root 3

it implies root 3 is a rational number

(since 5 - p/p are rationals ) But this contraicts to the fact that root 3 is inrationl

hence our supposition was wrong

therefore 5 - root 3 is inrationl

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