Question

X=0.3bar then x square is

Answer 1

hence x square is 1/9

Answer 2

$\mathsf{Given, x = 0. \overline{3} }\: \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.333333... \\ \\ now \: \\ \\ \: \textsf{ multiplying \: by \: 10 \: we \: get} \: \\ \\ 10x = 3.33333... \\ \\ \text{subtracting \: both \: equations \: } \\ \\ 10x - x = 3.3333.. - 0.3333... \: = 3 \\ \\ 9x = 3 \\ \\ \mathbf{x = \frac{1}{3} } \\ \\ \text{ \: now \: } \: \: \: \\ \\ \textsf{ \: squaring \: on \: both \: sides \: } \\ \\ {x}^{2} = { ( \: \frac{1}{3} \: ) }^{2} \\ \\ {x}^{2} = \frac{1}{9}$

Hope helped!