Question

Show that 2 + 3√2 is not irrational no given that √2 is an irrational no

Answer 1

Step-by-step explanation:

let the assume 2 +3√2 is rational no

so, 2 +3√3 in the form of p/q therefore, 2 +3√2 = a/b (where a or b≠0)

= 3√2 = a/b - 2

= 3√2 = (a-2b)/b

= √2 = (a-2b)/3b

but √2 is a irrational no

then, (a-2b)/3b is a irrational no

so, our assumption is wrong

2+3√2 is a irrational no