Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{\sqrt{3} }{\sqrt{6} }[/tex]
To rationalise the denominator, multiply numerator/ denominator by [tex]\sqrt{6}[/tex]
= [tex]\frac{\sqrt{3} }{\sqrt{6} }[/tex] × [tex]\frac{\sqrt{6} }{\sqrt{6} }[/tex]
= [tex]\frac{\sqrt{18} }{6}[/tex]
= [tex]\frac{3\sqrt{2} }{6}[/tex]
= [tex]\frac{\sqrt{2} }{2}[/tex]
