Evaluate each expression or indicate that the root is not a real number.
$\frac{\sqrt7}{\sqrt3}$

Verified step by step guidance

1. First, recognize that the expression involves a division of square roots: $\frac{\sqrt{7}}{\sqrt{3}}$.
2. To simplify this expression, use the property of square roots that allows you to combine them: $\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}$.
3. Apply this property to the given expression: $\sqrt{\frac{7}{3}}$.
4. To further simplify, you can rationalize the denominator. Multiply both the numerator and the denominator by $\sqrt{3}$ to eliminate the square root in the denominator.
5. This results in: $\frac{\sqrt{7}\cdot \sqrt{3}}{\sqrt{3}\cdot \sqrt{3}}=\frac{\sqrt{21}}{3}$.