Question

1. Show that (2+3√
2)/7 is not a rational
number, given that v2 is an irrational.​

Answer 1

Step-by-step explanation:

$\frac{2 + 3 \sqrt{2} }{7}$

$= > 2b + 3 \sqrt{2b} = 7a$

$= > 3 \sqrt{2b} = 7a - 2b$

$= > \sqrt{2} = \frac{7a - 2b}{3b}$

$= > thus \: \frac{2 + 3 \sqrt{2} }{7} \: is \: irratial$