Question

prove that 1÷√3-√2is an irrational number​

Answer 1

if any unperfect square is having a root on it, it will be an irrational no.

Step-by-step explanation:see root three it is nota a perfect square than also its having a root on it

Answer 2

$\huge\pink\bigstar\underline\mathfrak\orange{Hello\:mate\:!!!}$

Let $\frac {1}{root3\:-\:root2}$ be an rational number.

Rational number can be written in form $\frac{p}{q}$

Therefore,

$\frac {1}{root3\:-\:root2}$ = $\frac{p}{q}$

q = √3p - √2p

'q' is a rational number but LHS is not a rational number.

So,

$\frac {1}{root3\:-\:root2}$ is an irrational number.

Hope it helps you.