If `sqrt(18xx14xx x)=168`, then x is equal to

Options

A. 113
B. 112
C. 115
D. 117

Answer

To solve the equation \( \sqrt{18 \times 14 \times x} = 168 \), we will follow these steps:

### Step 1: Square both sides of the equation
To eliminate the square root, we square both sides of the equation:

\[ (\sqrt{18 \times 14 \times x})^2 = 168^2 \]

This simplifies to:

\[ 18 \times 14 \times x = 168^2 \]

### Step 2: Calculate \( 168^2 \)
Now, we need to calculate \( 168^2 \):

\[ 168^2 = 28224 \]

So, we have:

\[ 18 \times 14 \times x = 28224 \]

### Step 3: Calculate \( 18 \times 14 \)
Next, we calculate \( 18 \times 14 \):

\[ 18 \times 14 = 252 \]

### Step 4: Substitute back into the equation
Now, we substitute this value back into the equation:

\[ 252 \times x = 28224 \]

### Step 5: Solve for \( x \)
To find \( x \), we divide both sides by 252:

\[ x = \frac{28224}{252} \]

### Step 6: Perform the division
Now, we perform the division:

\[ x = 112 \]

Thus, the value of \( x \) is \( 112 \).

### Final Answer
The value of \( x \) is \( 112 \).

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