Question

simplify. assume x is greater than or equal to zero. \\(sqrt{45x^{9}}\\)

Explanation:

Step1: Factor into perfect squares

$\sqrt{45x^9} = \sqrt{9 \cdot 5 \cdot x^8 \cdot x}$

Step2: Separate square root terms

$\sqrt{9} \cdot \sqrt{5} \cdot \sqrt{x^8} \cdot \sqrt{x}$

Step3: Simplify perfect square roots

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

Step4: Combine remaining radicals

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

Answer:

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