`4sqrt(6)xx3sqrt(24)`= :-

Options

A. (1) 124
B. (2)134
C. (3) 144
D. (4) 154

Answer

To solve the expression \( 4\sqrt{6} \times 3\sqrt{24} \), we can follow these steps:

### Step 1: Multiply the coefficients and the square roots separately
We start by multiplying the coefficients (the numbers outside the square roots) and the square roots themselves.

\[ 4 \times 3 = 12 \]

Now, we handle the square roots:

\[ \sqrt{6} \times \sqrt{24} = \sqrt{6 \times 24} \]

### Step 2: Simplify the square root
Next, we simplify \( 6 \times 24 \).

\[ 6 \times 24 = 144 \]

Thus, we have:

\[ \sqrt{6 \times 24} = \sqrt{144} \]

### Step 3: Calculate the square root
Now we calculate \( \sqrt{144} \):

\[ \sqrt{144} = 12 \]

### Step 4: Combine the results
Now we combine the results from Step 1 and Step 3:

\[ 12 \times 12 = 144 \]

### Final Answer
Therefore, the final result of \( 4\sqrt{6} \times 3\sqrt{24} \) is:

\[ \boxed{144} \]