`36.0001 + 5.9998 xx sqrt(?)= 108.0005`

Options

A. 18
B. 16
C. 256
D. 325

Answer

To solve the equation \( 36.0001 + 5.9998 \times \sqrt{x} = 108.0005 \), we will follow these steps:

### Step 1: Simplify the equation
First, we can simplify the equation by isolating the square root term. We can start by subtracting \( 36.0001 \) from both sides:

\[ 5.9998 \times \sqrt{x} = 108.0005 - 36.0001 \]

### Step 2: Calculate the right side
Now, we calculate the right side:

\[ 108.0005 - 36.0001 = 71.9994 \]

So, we have:

\[ 5.9998 \times \sqrt{x} = 71.9994 \]

### Step 3: Isolate \(\sqrt{x}\)
Next, we divide both sides by \( 5.9998 \) to isolate \(\sqrt{x}\):

\[ \sqrt{x} = \frac{71.9994}{5.9998} \]

### Step 4: Calculate \(\sqrt{x}\)
Now, we perform the division:

\[ \sqrt{x} \approx 12 \]

### Step 5: Square both sides
To find \( x \), we square both sides:

\[ x = 12^2 = 144 \]

### Final Answer
Thus, the value of \( x \) is:

\[ \boxed{144} \]