The value of question mark (?) in `root (3) (512) + sqrt(16) + sqrt(576)` = ? is

Options

A. 26
B. 31
C. 22
D. 18

Answer

To find the value of the question mark (?) in the expression \( \sqrt[3]{512} + \sqrt{16} + \sqrt{576} = ? \), we will evaluate each term step by step.

### Step 1: Calculate the cube root of 512
The cube root of a number \( x \) is a number \( y \) such that \( y^3 = x \).

To find \( \sqrt[3]{512} \):
- We can express 512 as \( 8^3 \) because \( 8 \times 8 \times 8 = 512 \).
- Therefore, \( \sqrt[3]{512} = 8 \).

### Step 2: Calculate the square root of 16
The square root of a number \( x \) is a number \( y \) such that \( y^2 = x \).

To find \( \sqrt{16} \):
- We know that \( 4 \times 4 = 16 \).
- Therefore, \( \sqrt{16} = 4 \).

### Step 3: Calculate the square root of 576
Again, we will find the square root of 576.

To find \( \sqrt{576} \):
- We can express 576 as \( 24^2 \) because \( 24 \times 24 = 576 \).
- Therefore, \( \sqrt{576} = 24 \).

### Step 4: Add the results from Steps 1, 2, and 3
Now, we will add all the values we calculated:
- From Step 1: \( \sqrt[3]{512} = 8 \)
- From Step 2: \( \sqrt{16} = 4 \)
- From Step 3: \( \sqrt{576} = 24 \)

So, we have:
\[ 8 + 4 + 24 = 36 \]

### Conclusion
The value of the question mark (?) is \( 36 \).