Question

Prove that 5+3√2 is an irrational number.​

Answer 1

Answer:

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Answer 2

Answer:

let us assume that 5+3√2 is a rational no.

5+3√2=p/q(where p and q are integers ,q is not

equal to 0.)

3√2=p/q-5

3√2=p-5q/q

√2=p-5q/3q

p-5q/3q is a rational no.

√2 must me a rational no.

but it is impossible because √2 is an irrational no.

hence , our assumption is wrong

5+3√2 is an irrational no.