Simplify:- 192 * 4 = ?^2 - √256

Options

A. a. 28
B. b. 26
C. c. 24
D. d. 30

Answer

To simplify the expression \(192 \times 4 = ?^2 - \sqrt{256}\), we will follow these steps:

### Step 1: Calculate \(192 \times 4\)
First, we need to multiply \(192\) by \(4\).

\[ 192 \times 4 = 768 \]

### Step 2: Calculate \(\sqrt{256}\)
Next, we need to find the square root of \(256\).

\[ \sqrt{256} = 16 \]

### Step 3: Set up the equation
Now we can set up the equation based on the original expression:

\[ 768 = ?^2 - 16 \]

### Step 4: Rearrange the equation
To isolate \(?^2\), we will add \(16\) to both sides of the equation:

\[ 768 + 16 = ?^2 \]

\[ 784 = ?^2 \]

### Step 5: Solve for \(?\)
Now, we will take the square root of both sides to solve for \(?\):

\[ ? = \sqrt{784} \]

### Step 6: Calculate \(\sqrt{784}\)
Finding the square root of \(784\):

\[ \sqrt{784} = 28 \]

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

\[ ? = 28 \]

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