Question

prove that 4 root 2-3 root 3 is an irrational number

Answer 1

Solution...

$4 \sqrt{3} - 3 \sqrt{3}$
$\sqrt{3} (4 - 3)$
$\sqrt{3} \times 1 = \sqrt{3}$
Hence, we know that root 3 is an irrational number....
Therefore, Proved....