Question

$2\sqrt{3}\times 3\sqrt{2}$ is a/an ___ number. (rational/irrational)

.

Answer 1

$2\sqrt{3}\times 3\sqrt{2}=2\times 3\times \sqrt{2\times 3}=6\sqrt{6}$
The presence of factor $\sqrt{6}$ makes the expression irrational.