Question

Find the square root of the following decimal numbers.
$0.7225$
$150.0625$
$236.144689$

• A. 0.85, 13.25, 15.367
• B. 0.85, 12.25, 15.367
• C. 0.85, 12.25, 15.357
• D. 0.95, 12.25, 15.367

Answer 1

The correct option is B 0.85, 12.25, 15.367

$0.7225$

	$0.85$
$8$ $+8$	$0.\overline{72}\overline{25}$ $64$
$165$	$625$ $625$

$\therefore$ The square root of $0.7225=0.85$
$150.0625$

	$12.25$
$1$ $+1$	$1\overline{50}.\overline{06}\overline{25}$ $1$
$22$ $+2$	$50$ $44$
$242$ $+2$	$606$ $484$
$2445$	$12225$ $12225$

$\therefore$ The square root of $150.0625=12.25$
$236.144689$

$0$	$15.367$
$1$ $+1$	$2\overline{36}.\overline{14}\overline{46}\overline{89}$ $1$
$25$ $+5$	$136$ $125$
$303$ $+3$	$1114$ $909$
$3066$ $+6$ $30727$	$20546$ $18396$ $215089$ $215089$

$\therefore$ The square root of $236.144689=15.367$