Answer:
[tex]\frac{4\sqrt{5} }{5}[/tex]
Step-by-step explanation:
[tex]\frac{4\sqrt{6} }{\sqrt{30} } =\frac{\sqrt{30} *4*\sqrt{6} } \sqrt{30} {\sqrt{30} } \\\\[/tex]
[tex]\frac{4\sqrt{6*30} }{30} =\frac{4*\sqrt{180} }{30} =\frac{4*\sqrt{36*5} }{30} = \\\\\frac{4*6\sqrt{5} }{6*5} =\frac{4\sqrt{5} }{5}[/tex]
Answer:
[tex]\frac{4\sqrt{5} }{5}[/tex]
Step-by-step explanation:
Rationalise the denominator by multiplying both the numerator and denominator by [tex]\sqrt{30}[/tex], that is
[tex]\frac{4\sqrt{6} }{\sqrt{30} }[/tex] × [tex]\frac{\sqrt{30} }{\sqrt{30} }[/tex]
= [tex]\frac{4\sqrt{180} }{30}[/tex]
= [tex]\frac{4\sqrt{36(5)} }{30}[/tex]
= [tex]\frac{4(6)\sqrt{5} }{30}[/tex]
= [tex]\frac{24\sqrt{5} }{30}[/tex]
= [tex]\frac{4\sqrt{5} }{5}[/tex]
