Question

Find two numbers which on multiplication with root 180 is a rational number

Answer 1

multiply root 180 to root 180

Answer 2

Answer

$\sf \sqrt{180} \: is \: the \: number \: given \\ \sf = \sqrt{2} × 2 × 3 × 3 × 5 \\ </p><p>= \sf 6\sqrt{5}$

Multiplying by √5 and 2√5 we get:-

$\sf ( 6 \sqrt{5} × \sqrt{5} = 30) \\ </p><p>\sf (6 \sqrt{5} × 2 \sqrt{5} = 60)$