Question

6.1 simplifying radical expressions and applying converse, and solving right triangles pretest

question 5
simplify.
\\(\frac{\sqrt{5}}{\sqrt{3}}\\)

Explanation:

⚡ Using what you learned: simplifying radical expressions

Step 1: Rationalize the denominator

Multiply the numerator and the denominator by \(\sqrt{3}\) to eliminate the radical in the denominator:

$$ \frac{\sqrt{5}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} $$

Step 2: Simplify the expression

Multiply the terms in the numerator and the denominator:

$$ \frac{\sqrt{5 \cdot 3}}{\sqrt{3 \cdot 3}} = \frac{\sqrt{15}}{3} $$

Answer:

The simplified expression is:

$$ \frac{\sqrt{15}}{3} $$

In the provided input boxes, the top box is \(\sqrt{15}\) and the bottom box is \(3\).