Question

Find the square root of $0.056$ correct to $3$ places of decimal.

• A. $0.237$
• B. $0.247$
• C. $0.207$
• D. $0.267$

Answer 1

The correct option is A $0.237$

We must find the square root to $4$ places of decimal and then round off to $3$ places.

For that the number must have $8$ places of decimal i.e. $0.056=0.\overline{05}\overline{60}\overline{00}\overline{00}$.
$\mid 0.2366\overline{2\mid \overline{0}.\overline{05}\overline{60}\overline{00}\overline{00}}\mid -4\downarrow \overline{43\mid 1}60\mid -129\stackrel{\mid }{\downarrow }\overline{466\mid 31}00\mid -2796\overline{4726\mid 30400}\mid -28356\overline{4732\mid 1044}$
The square root we get is $0.2366$ as $6$ is greater than $5$, we round off to $0.237$.
The square root of $0.056$ correct to $3$ places of decimal is $0.237$.