Square root of 4x times square root of x + 2 is the same as:
[tex]\sqrt{4x}*\sqrt{x+2}[/tex]To solve this question, follow the steps below.
Step 01: Solve the square root of the first term.
[tex]\begin{gathered} \sqrt{4x}=\sqrt{4}*\sqrt{x} \\ =2\sqrt{x} \end{gathered}[/tex]Step 02: Solve the multiplication.
[tex]2\sqrt{x}*\sqrt{x+2}[/tex]Multiply the numbers inside the square root.
[tex]\begin{gathered} 2\sqrt{x*(x+2)} \\ 2\sqrt{x^2+2x} \end{gathered}[/tex]Answer:
[tex]2\sqrt{x^2+2x}[/tex]