Answer
$a). 14.7$
$b). 11.4$
$c). 0.20 m^{2}$
$d). 0.82$
Work Step by Step
When added or subtracted, the decimal places of the result must have least decimal place of the 2 quantities.
So,
a). 12.634 + 2.1 = 14.7,
b). 13.5 - 2.134 = 11.4
When multiplied or divided, the number of significant figures must be with the least number of significant figures among the quantities.
so,
c). $\frac{22}{7} \times (0.25m)^{2} = 0.20 m^{2}$
d). $\sqrt \frac{2.37}{3.5}=0.82$