`sqrt(6) xx sqrt(8)` is equal to

Options

A. `3 sqrt(4)`
B. `4 sqrt(3)`
C. `sqrt(14)`
D. `6 sqrt(8)`

Answer

To solve the question \( \sqrt{6} \times \sqrt{8} \), we can follow these steps:

### Step 1: Use the property of square roots
We can use the property of square roots that states \( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \). Therefore, we can rewrite the expression as:

\[ \sqrt{6} \times \sqrt{8} = \sqrt{6 \times 8} \]

### Step 2: Calculate the product inside the square root
Now, we need to calculate \( 6 \times 8 \):

\[ 6 \times 8 = 48 \]

So, we can rewrite our expression as:

\[ \sqrt{6} \times \sqrt{8} = \sqrt{48} \]

### Step 3: Simplify \( \sqrt{48} \)
Next, we simplify \( \sqrt{48} \). We can factor \( 48 \) into its prime factors:

\[ 48 = 16 \times 3 = 4^2 \times 3 \]

Now, we can express \( \sqrt{48} \) as:

\[ \sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} \]

### Step 4: Calculate \( \sqrt{16} \)
Since \( \sqrt{16} = 4 \), we can substitute this back into our expression:

\[ \sqrt{48} = 4 \times \sqrt{3} \]

### Final Result
Thus, we conclude that:

\[ \sqrt{6} \times \sqrt{8} = 4\sqrt{3} \]

### Answer
The final answer is \( 4\sqrt{3} \).

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