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: $\sqrt[3]{6}$

Question

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: $\sqrt[3]{6}$

Team Careers360 · Accepted Answer

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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Question : The value of $\sqrt{9+2\sqrt{16}+\sqrt[3]{512}}$ is:Option 1: 6Option 2: 5Option 3: $\sqrt[2]{8}$Option 4: $\sqrt[3]{6}$

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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: $\sqrt[3]{6}$