Q588 - Intermediate Algebra

Question

Simplify. Assume all variables are positive.

$\sqrt{27x^2} -4x\sqrt{12} + \sqrt{108x^2}$

Step-by-Step Solution

Answer

The Solution is $x\sqrt{3}$

Step1 : The Given Information

An expression is $\sqrt{27x^2} -4x\sqrt{12} + \sqrt{108x^2}$

Step 2: Simplifying

$$\begin{gathered} =\sqrt{27x^2} -4x\sqrt{12} + \sqrt{108x^2} \\ =\sqrt{9.3.x^2} - 4x\sqrt{3.4} + \sqrt{4.3.9.x^2} \\ =3x\sqrt{3} - 8x\sqrt{3} +6x\sqrt{3} \\ =x\sqrt{3} \end{gathered}$$