Question

evaluate the following square root expression. assume x > 0.\sqrt{-50x}

Explanation:

Step1: Factor out negative 1

$\sqrt{-50x} = \sqrt{-1 \times 50x}$

Step2: Separate square roots

$\sqrt{-1} \times \sqrt{50x}$

Step3: Simplify $\sqrt{-1}$ and factor 50

$i \times \sqrt{25 \times 2x}$

Step4: Simplify $\sqrt{25 \times 2x}$

$i \times \sqrt{25} \times \sqrt{2x} = i \times 5 \times \sqrt{2x}$

Step5: Rearrange terms

$5i\sqrt{2x}$

Answer:

$5i\sqrt{2x}$