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For this case we must resolve the following expression:
[tex]9 ^ {\sqrt {3}}[/tex]
We have to, by definition:
[tex]\sqrt {3} = 1.732050808[/tex]
So:
[tex]9 ^ {1.732050808} =[/tex]
Evaluating in a calculator we have to:
[tex]9 ^ {1.732050808} = 44.95691576[/tex]
Rounding the obtained expression:
[tex]9 ^ {\sqrt {3}} = 44.9569[/tex]
Answer:
Option C