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If sqrt x &nbsp - sqrt y &nbsp = 1 sqrt...

This question belongs to Arithmetic Ability Algebra
Algebra
?

If $$\sqrt x $$  - $$\sqrt y $$  = 1, $$\sqrt x $$  + $$\sqrt y $$  = 17, then $$\sqrt {xy} $$  = ?

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & \sqrt x - \sqrt y = 1\,......(i) \cr & \sqrt x + \sqrt y = 17\,.....(ii) \cr & {\text{From equation (i) and (ii)}} \cr & \sqrt x = 9,\sqrt y = 8 \cr & {\text{So, }}\sqrt {xy} = 9 \times 8 = 72 \cr} $$
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