Which of the following is equal to $\sqrt{0.1111...\times0.4444...}$?

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$\sqrt{0.1111...\times0.4444...}$ നു തുല്യമായത് ഏത്?

A4/81

B0.444...

C0.222...

D4/9

Answer:

$\sqrt{0.111...\times0.444...}$

$=\sqrt{{\frac19}\times\frac49}$

$=\sqrt{\frac4{81}}$

$=\frac29=0.222....$

$0.11111..... = \frac{1}{9}$

$0.444........ = \frac{4}{9}$

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