Question

simplify. assume x is greater than or equal to zero. $sqrt{20x^{3}}$

Explanation:

Step1: Factor into perfect squares

$\sqrt{4 \times 5 \times x^2 \times x}$

Step2: Split the square root

$\sqrt{4} \times \sqrt{x^2} \times \sqrt{5x}$

Step3: Simplify perfect square roots

$2 \times x \times \sqrt{5x}$

Answer:

$2x\sqrt{5x}$