If `sqrt(x)+22=18`, what is the value of x?

Options

A. `4`
B. `16`
C. `32`
D. `256`

Answer

To solve the equation \( \sqrt{x} + 22 = 18 \), we will follow these steps:

### Step 1: Isolate the square root term
We start by isolating \( \sqrt{x} \) on one side of the equation. We can do this by subtracting 22 from both sides:

\[ \sqrt{x} = 18 - 22 \]

### Step 2: Simplify the right side
Now, we simplify the right side:

\[ \sqrt{x} = -4 \]

### Step 3: Square both sides
Next, we square both sides to eliminate the square root:

\[ x = (-4)^2 \]

### Step 4: Calculate the square
Now, we calculate the square of -4:

\[ x = 16 \]

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

\[ \boxed{16} \]

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