`685.005 + 5 - sqrt? = 16.99xx6.01`

Options

A. a. 62.5
B. b. 12.25
C. c. 24
D. d. 84.1

Answer

To solve the equation \( 685.005 + 5 - \sqrt{?} = 16.99 \times 6.01 \), we can follow these steps:

### Step 1: Approximate the values
First, we approximate the values in the equation:
- \( 685.005 \) can be approximated to \( 685 \).
- \( 16.99 \) can be approximated to \( 17 \).
- \( 6.01 \) can be approximated to \( 6 \).

So, we rewrite the equation as:
\[ 685 + 5 - \sqrt{?} = 17 \times 6 \]

### Step 2: Calculate the right-hand side
Now, we calculate \( 17 \times 6 \):
\[ 17 \times 6 = 102 \]

### Step 3: Simplify the left-hand side
Now, simplify the left-hand side:
\[ 685 + 5 = 690 \]
So the equation now looks like:
\[ 690 - \sqrt{?} = 102 \]

### Step 4: Isolate the square root
Next, we isolate \( \sqrt{?} \):
\[ 690 - 102 = \sqrt{?} \]
Calculating the left side gives:
\[ 690 - 102 = 588 \]
Thus, we have:
\[ \sqrt{?} = 588 \]

### Step 5: Find the value of ?
Now, we square both sides to find \( ? \):
\[ ? = 588^2 \]

### Step 6: Approximate the square root
To find the approximate value of \( \sqrt{588} \), we can calculate:
\[ \sqrt{588} \approx 24.24 \]
For approximation purposes, we can round this to \( 24 \).

### Conclusion
Thus, the approximate value of \( \sqrt{?} \) is \( 24 \).