A
using the laws of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Rationalise the denominator by multiplying numerator/ denominator by [tex]\sqrt{6}[/tex]
2[tex]\sqrt{3}[/tex] / [tex]\sqrt{6}[/tex] × [tex]\sqrt{6}[/tex] / [tex]\sqrt{6}[/tex]
= 2[tex]\sqrt{18}[/tex] / 6 = (2 × 3[tex]\sqrt{2}[/tex]) / 6 = [tex]\sqrt{2}[/tex] → A
