The square root of ( 0.75 )^31 - 0.75 + [ 0.75 + ( 0.75 )^2 + 1 ] is = ?

Answer: Option B

$$\frac{{\left(0.75\right)}^3}{1-0.75}$$ $$\text{ + }$$$$\left[0.75+{\left(0.75\right)}^2+1\right]$$
$$=\frac{{\left(0.75\right)}^2\times 0.75}{0.25}$$   $$\text{ + }$$ $$\left[0.75+0.5625+1\right]$$
$$=0.5625\times 3+$$   $$\left[0.75+0.5625+1\right]$$
$$\begin{array}{rl}& =1.6875+2.3125\\ & =4\end{array}$$
Square root of 4 = 2