Question

select the correct answer.

what is this expression in simplified form?

\\\frac{5\sqrt{5}\sqrt{15}}{\sqrt{25}}\\

• \\(5\sqrt{3}\\)
• \\(15\\)
• \\(5\sqrt{2}\\)
• \\(15\sqrt{5}\\)

Explanation:

⚡ Using what you learned: simplifying radical expressions

Step 1: Simplify the denominator

$$ \sqrt{25} = 5 $$

Step 2: Rewrite the expression

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

Step 3: Simplify the product of radicals

$$ \sqrt{5}\sqrt{15} = \sqrt{5 \cdot 15} = \sqrt{75} $$

$$ \sqrt{75} = \sqrt{25 \cdot 3} = 5\sqrt{3} $$

Answer:

\(5\sqrt{3}\)