`sqrt(576) - sqrt(144) + sqrt(729) = 36 + ?`

Options

A. 1
B. 4
C. 5
D. 3

Answer

To solve the equation \( \sqrt{576} - \sqrt{144} + \sqrt{729} = 36 + ? \), we will follow these steps:

### Step-by-Step Solution:

1. **Calculate \( \sqrt{576} \)**:
- The square root of 576 can be calculated.
- \( \sqrt{576} = 24 \) (since \( 24^2 = 576 \)).

2. **Calculate \( \sqrt{144} \)**:
- The square root of 144 can also be calculated.
- \( \sqrt{144} = 12 \) (since \( 12^2 = 144 \)).

3. **Calculate \( \sqrt{729} \)**:
- The square root of 729 is calculated next.
- \( \sqrt{729} = 27 \) (since \( 27^2 = 729 \)).

4. **Substitute the values into the equation**:
- Now substitute the calculated values into the equation:
\[ 24 - 12 + 27 = 36 + ? \]

5. **Simplify the left side**:
- Perform the operations on the left side:
\[ 24 - 12 = 12 \]
\[ 12 + 27 = 39 \]

6. **Set up the equation**:
- Now we have:
\[ 39 = 36 + ? \]

7. **Solve for ?**:
- To find the value of \( ? \), subtract 36 from both sides:
\[ ? = 39 - 36 \]
\[ ? = 3 \]

### Final Answer:
The value of \( ? \) is \( 3 \).