Question : Find the value of $\sqrt{\left[\left(7^2+6^3+9^2\right) \div 2+52\right]}$.
Option 1: 14
Option 2: 15
Option 3: 16
Option 4: 13
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Correct Answer: 15
Solution : $\sqrt{\left[\left(7^2+6^3+9^2\right) \div 2+52\right]}$ $=\sqrt{\left[\left(49+216+81\right) \div 2+52\right]}$ $=\sqrt{\left[\left(346\right) \div 2+52\right]}$ $=\sqrt{[173+52]}$ $=\sqrt{225}$ $=15$ Hence, the correct answer is 15.
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