Question

Simplify the radical expression. $$\frac{3 \sqrt{7}}{\sqrt{9}}$$

Short answer

The simplified form of the expression is \( \sqrt{7} \).

Step-by-step solution

Simplify the radical in the denominator

Simplify the square root of 9. The square root of 9 is 3 (since \(3 \times 3 = 9\)). So, the expression becomes \( \frac{3 \sqrt{7}}{3} \).

Cancel out terms

The numerator and the denominator have a common factor, which is 3. Cancel out the common factor. The expression simplifies to \( \sqrt{7} \).