Question

prove that√3-√2 is an rational number​

Answer 1

Answer:

☺Hello mate❤

Let √3 - √2 = (a/b) is a rational no. So,5 - 2√6 = (a2/b2) a rational no. Since, 2√6 is an irrational no. ... So, (√3 - √2) is an irrational no.

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Answer 2

Answer:

let

$\sqrt{3} + \sqrt{2 \:} be \: a \: raional \: number \\ \sqrt{3} + \sqrt{2} = \frac{p}{q} \\ squaring \: both \: side \\ ( \sqrt{3} + \sqrt{2} ) {}^{2} = \frac{ {p}^{2} }{ {q}^{2} }$