The value of `2sqrt(3) + sqrt(3)` is

Options

A. `2sqrt(6)`
B. `6`
C. `3sqrt(3)`
D. `4sqrt(6)`

Answer

To solve the expression \(2\sqrt{3} + \sqrt{3}\), we can follow these steps:

### Step 1: Identify the common term
We notice that both terms in the expression \(2\sqrt{3}\) and \(\sqrt{3}\) have \(\sqrt{3}\) as a common factor.

### Step 2: Factor out \(\sqrt{3}\)
We can factor out \(\sqrt{3}\) from the expression:
\[ 2\sqrt{3} + \sqrt{3} = (2 + 1)\sqrt{3} \]

### Step 3: Simplify the expression inside the parentheses
Now, we simplify the expression inside the parentheses:
\[ (2 + 1)\sqrt{3} = 3\sqrt{3} \]

### Step 4: Write the final answer
Thus, the value of \(2\sqrt{3} + \sqrt{3}\) is:
\[ 3\sqrt{3} \]

### Summary of the Solution
The final answer is \(3\sqrt{3}\).

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