Problem 68 - Algebra 1: Concepts and Skills

Question

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

Step-by-Step Solution

Answer

\(\sqrt{7}\)

Step 1: Identify the Perfect Squares

In the expression, identify numbers that are perfect squares. Here, the denominator of the expression, \(9\), is a perfect square.

Step 2: Simplify the Perfect Square

Simplify the square root of \(9\), which gives \(3\). The new expression becomes \(\frac{3 \sqrt{7}}{3}\).

Step 3: Simplify the Fraction

Both the numerator and the denominator have a common factor of \(3\). Divide both terms by this common factor to simplify the fraction. This gives \(\sqrt{7}\) as the final simplified expression.