`3sqrt(1728)=?-7`

Options

A. 16
B. 17
C. 18
D. 19

Explanation

To solve the equation \(3\sqrt[3]{1728} = ? - 7\), we will follow these steps:

### Step 1: Calculate the cube root of 1728
We need to find \(\sqrt[3]{1728}\).

To do this, we can factor 1728:
- \(1728 = 12 \times 12 \times 12\) or \(12^3\).

Thus, we have:
\[ \sqrt[3]{1728} = 12 \]

### Step 2: Multiply the cube root by 3
Now, we will multiply the result by 3:
\[ 3 \times \sqrt[3]{1728} = 3 \times 12 = 36 \]

### Step 3: Set up the equation
Now we have:
\[ 36 = ? - 7 \]

### Step 4: Solve for ?
To find the value of ?, we will add 7 to both sides of the equation:
\[ ? = 36 + 7 \]
\[ ? = 43 \]

### Final Answer
Thus, the value of ? is:
\[ \boxed{43} \]

---