Question

Square root of 4x Times Square root of x + 2

Answer 1

Square root of 4x times square root of x + 2 is the same as:

`√(4x)*√(x+2)`

To solve this question, follow the steps below.

Step 01: Solve the square root of the first term.

`\begin{gathered} √(4x)=√(4)*√(x) \\ =2√(x) \end{gathered}`

Step 02: Solve the multiplication.

`2√(x)*√(x+2)`

Multiply the numbers inside the square root.

`\begin{gathered} 2√(x*(x+2)) \\ 2√(x^2+2x) \end{gathered}`

Answer:

`2√(x^2+2x)`