# 3 divided by the square root of 3

#### Understand the Problem

The question is asking for the mathematical operation of dividing 3 by the square root of 3. To solve this, we will calculate the square root of 3 and then perform the division.

$\sqrt{3}$

The final answer is $\sqrt{3}$.

#### Steps to Solve

1. Calculate the Square Root of 3

First, we need to find the square root of 3. The square root of a number $x$ is the number that, when multiplied by itself, gives $x$.

$$\sqrt{3}$$

1. Perform the Division

Next, we will divide 3 by the square root of 3. This means we are taking the result of the square root and dividing it into 3.

$$\frac{3}{\sqrt{3}}$$

1. Rationalize the Denominator

To simplify our answer, we can rationalize the denominator. This means we will multiply both the numerator and the denominator by $\sqrt{3}$.

$$\frac{3 \cdot \sqrt{3}}{\sqrt{3} \cdot \sqrt{3}} = \frac{3\sqrt{3}}{3}$$

1. Simplify the Expression

Now, we simplify the expression by canceling out the 3 in the numerator and denominator.

$$\sqrt{3}$$

The final answer is $\sqrt{3}$.