Question

simplify. assume f is greater than or equal to zero. \\(sqrt{50f^3}\\)

Explanation:

Step1: Factor into perfect squares

$\sqrt{25 \cdot 2 \cdot f^2 \cdot f}$

Step2: Split the square root

$\sqrt{25} \cdot \sqrt{f^2} \cdot \sqrt{2f}$

Step3: Simplify perfect square roots

$5 \cdot f \cdot \sqrt{2f}$

Answer:

$5f\sqrt{2f}$