Question

$$( \sqrt{ x } +2)( \sqrt{ x+3x) }$$

Answer

2*sqrt(x)*(sqrt(x)+2)

Solution


Simplify  \(x+3x\)  to  \(4x\).
\[(\sqrt{x}+2)\sqrt{4x}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[(\sqrt{x}+2)\sqrt{4}\sqrt{x}\]
Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[(\sqrt{x}+2)\times 2\sqrt{x}\]
Simplify.
\[2\sqrt{x}(\sqrt{x}+2)\]