Rationalize the denominatiors of :
`(2sqrt(3))/(5)`

Answer

To rationalize the denominator of the expression \(\frac{2\sqrt{3}}{5}\), we follow these steps:

### Step 1: Identify the expression
We start with the expression:
\[ \frac{2\sqrt{3}}{5} \]

### Step 2: Multiply and divide by the denominator
To rationalize the denominator, we can multiply both the numerator and the denominator by the same number. In this case, since the denominator is already a rational number (5), we can simply multiply the numerator by 5. Thus, we multiply and divide by 5:
\[ \frac{2\sqrt{3}}{5} \times \frac{5}{5} \]

### Step 3: Simplify the expression
Now, we perform the multiplication:
\[ = \frac{2\sqrt{3} \times 5}{5 \times 5} \]
\[ = \frac{10\sqrt{3}}{25} \]

### Step 4: Further simplify if possible
Next, we can simplify the fraction:
\[ = \frac{10\sqrt{3}}{25} = \frac{2\sqrt{3}}{5} \]

### Final Result
Thus, the rationalized form of the expression is:
\[ \frac{2\sqrt{3}}{5} \]