Question

simplify. assume f is greater than or equal to zero.
\sqrt{75f^{9}}

Explanation:

Step1: Factor into perfect squares

$\sqrt{25 \cdot 3 \cdot f^8 \cdot f}$

Step2: Separate square root terms

$\sqrt{25} \cdot \sqrt{f^8} \cdot \sqrt{3f}$

Step3: Simplify perfect square roots

$5 \cdot f^4 \cdot \sqrt{3f}$

Step4: Combine terms

$5f^4\sqrt{3f}$

Answer:

$5f^4\sqrt{3f}$