The square root of $${\text{0}}{\text{.}}\overline {\text{4}} $$ is ? Options: A . &nbsp$$0.\overline 6 $$ B . &nbsp$$0.\overline 7 $$ C . &nbsp$$0.\overline 8 $$ D . &nbsp$$0.\overline 9 $$

The square root of $${\text{0}}{\text{.}}\overline {\text{4}} $$ is ?

Question

The square root of $${\text{0}}{\text{.}}\overline {\text{4}} $$ is ?

Options:

A . $$0.\overline 6 $$

B . $$0.\overline 7 $$

C . $$0.\overline 8 $$

D . $$0.\overline 9 $$

Answer: Option A
$$\eqalign{
& = \sqrt {{\text{0}}{\text{.}}\overline {\text{4}} {\text{ }}} \cr
& = \sqrt {\frac{4}{9}} \cr
& = \frac{2}{3} \cr
& = 0.666...... \cr
& = 0.\overline 6 \cr} $$

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