Question

show that 4-✓3 an irrational number​

Answer 1

Answer:

it is irrational

Step-by-step explanation:

let's consider 4-root3 as rational

so

$\\ 4 - \sqrt{3 } = \frac{a}{b} \\ \sqrt{3} = - 4( \frac{a}{b} ) \\ as \: \frac{ - 4a}{b} \: is \: rational \: but \: \\ \sqrt{3} \: is \: irrational \\ so \: 4 - \sqrt{3} is \: not \: rational \:$