Question

$\sqrt{182.25}$ = ____.

• A. 10.5
• B. 11.5
• C. 12.5
• D. 13.5

Answer 1

The correct option is D

13.5

Step I: Make the number of decimal places even by affixing a zero on the extreme right of the decimal part (if required).

Step II: Group the integral part and decimal part, in pairs of two.

Step III: Now, perform long division.

Step IV: Put the decimal point in the square root as soon as the square root of the integral part is found.

$\begin{array}{ccc}& 13.5& \\ 1& \overline{1}\overline{82}.\overline{25}& \\ & 1& \\ 23& 082& \\ & 69& \\ 265& 1325& \\ & 1325& \\ & 0000& \end{array}$

$\text{Hence,}\sqrt{182.25}=13.5$