Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{15} }{\sqrt{5} }[/tex]
to rationalise the denominator multiply numerator/ denominator by [tex]\sqrt{5}[/tex]
= [tex]\frac{\sqrt{15} }{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]
= [tex]\frac{\sqrt{75} }{5}[/tex]
= [tex]\frac{\sqrt{25(3)} }{5}[/tex]
= [tex]\frac{5\sqrt{3} }{5}[/tex]
= [tex]\sqrt{3}[/tex]
