Answer:
162
Step-by-step explanation:
[tex] { \sqrt{xy} } = 3[/tex]
[tex] = > ( { \sqrt{xy} })^{2} = {3}^{2} [/tex]
[tex] = > xy = 9[/tex]
Also ,
[tex]x - y = 12[/tex]
[tex] = > {(x - y)}^{2} = {12}^{2} [/tex]
[tex] = > {x}^{2} + {y}^{2} - 2xy = 144[/tex]
Putting the value of 'xy' above gives :-
[tex] {x}^{2} + {y}^{2} - 2 \times 9 = 144[/tex]
[tex] = > {x}^{2} + {y}^{2} = 144 + 18 = 162[/tex]
