Question : The value of $\sqrt{9+2\sqrt{16}+\sqrt[3]{512}}$ is:
Option 1: 6
Option 2: 5
Option 3: $\sqrt[2]{8}$
Option 4: $\sqrt[3]{6}$
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Correct Answer: 5
Solution : Given: $\sqrt{9+2\sqrt{16}+\sqrt[3]{512}}$ $=\sqrt{9+(2×4)+8}$ $=\sqrt{9+8+8}$ $=\sqrt{25}$ $=5$ Hence, the correct answer is 5.
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