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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Answer (1)
3rd Jan, 2024
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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