Question

simplify the expression. assume that all variables are positive.

\\\sqrt{\frac{25y^2}{4x^2}}\\

\\\sqrt{\frac{25y^2}{4x^2}} = \box\\

(simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

⚡ Using what you learned: Simplifying radical expressions

Step 1: Apply the quotient rule for radicals

$$ \sqrt{\frac{25y^2}{4x^2}} = \frac{\sqrt{25y^2}}{\sqrt{4x^2}} $$

Step 2: Simplify the numerator and denominator

$$ \frac{\sqrt{25} \cdot \sqrt{y^2}}{\sqrt{4} \cdot \sqrt{x^2}} = \frac{5y}{2x} $$

Answer:

$$ \frac{5y}{2x} $$