Answer:
[tex]B) \sqrt{2}[/tex] ÷ [tex]2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]A[/tex]→ [tex]2\sqrt{5}[/tex] ÷ [tex]\sqrt{5}[/tex]
[tex]= \frac{2\sqrt{5} }{\sqrt{5} }[/tex]
→ 2 is a rational number
[tex]B)[/tex] → [tex]\sqrt{2}[/tex] ÷ [tex]2\sqrt{5}[/tex]
[tex]=\frac{\sqrt{2} }{2\sqrt{5} }[/tex]
[tex]=\frac{\sqrt{2} }{\sqrt{2}*\sqrt{2}*\sqrt{5} }[/tex]
[tex]= \frac{1}{\sqrt{10} }[/tex]
↑ is irrational number
[tex]C)[/tex] [tex]\frac{\pi }{2}[/tex]÷ [tex]\pi[/tex]
[tex]= \frac{\pi }{2} *\frac{1}{\pi }[/tex]
[tex]=\frac{1}{2}[/tex]
↑ is a rational number
[tex]D)[/tex][tex]5\pi[/tex] ÷ [tex]\pi[/tex]
[tex]= 5[/tex]
↑ is a rational number
So, Option B is your answer
[tex]-----------------[/tex]
hope it helps..
have a great day!!!
