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

Options

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

Answer

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

### Step 1: Identify the terms
We have two terms in the expression: \( 2\sqrt{3} \) and \( \sqrt{3} \).

### Step 2: Rewrite the expression
We can rewrite the expression as:
\[ 2\sqrt{3} + 1\sqrt{3} \]

### Step 3: Factor out the common term
Both terms have a common factor of \( \sqrt{3} \). We can factor \( \sqrt{3} \) out:
\[ \sqrt{3}(2 + 1) \]

### Step 4: Simplify the expression inside the parentheses
Now, we simplify the expression inside the parentheses:
\[ 2 + 1 = 3 \]

### Step 5: Substitute back into the expression
Now, we substitute back into the expression:
\[ \sqrt{3} \cdot 3 \]

### Step 6: Final expression
This can be written as:
\[ 3\sqrt{3} \]

Thus, the value of \( 2\sqrt{3} + \sqrt{3} \) is \( 3\sqrt{3} \).