Question

Given that root 2 is irrational, prove that (5+3 root2)
is an irrational number.​

Answer 1

Answer:

Let 5+3√2 is rational no.

so , their exit co.prime intezer p and q , q is not equal to 0

then ,

5+3√2 = p/q

3√2 = p/q - 5

3√2= p - 5q divided by q

the contradaction for fact 5+3√2 is rational

our assumption is wrong

5+3√2 is irrational no.

proved

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