Question

prove that 5 + 3 root 2 is irrational​

Answer 1

Let 5 +3√2 be rational no.

5 +3√2 = p/q

Where p and q are co prime and q≠0

3√2 =p/q - 5

√2 = p/3q - 5/3

In LHS there is Irrational no. And in RHS there is rational no.

This is not possible. This contradiction arise due to our wrong assumption. Thus 5 +3√2 is Irrational no.

Hence proved

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