Question
$$\sqrt {11881} \times \sqrt ? = 10137$$
Answer: Option B
$$\eqalign{
& {\text{Let}}, \cr
& \sqrt {11881} \times \sqrt x = 10137 \cr
& {\text{Then}}, \cr
& 109 \times \sqrt x = 10137 \cr
& \Leftrightarrow \sqrt x = \frac{{10137}}{{109}} = 93 \cr
& \Leftrightarrow x = {\left( {93} \right)^2} \cr
& \Leftrightarrow x = 8649 \cr} $$
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$$\eqalign{
& {\text{Let}}, \cr
& \sqrt {11881} \times \sqrt x = 10137 \cr
& {\text{Then}}, \cr
& 109 \times \sqrt x = 10137 \cr
& \Leftrightarrow \sqrt x = \frac{{10137}}{{109}} = 93 \cr
& \Leftrightarrow x = {\left( {93} \right)^2} \cr
& \Leftrightarrow x = 8649 \cr} $$
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