Q. 587 - Intermediate Algebra

Question

Simplify. Assume all variables are positive.

$\sqrt{48x^5} -\sqrt{75x^5}$

Step-by-Step Solution

Answer

The Solution is $-x^2\sqrt{3x}$

Step1 : The Given Information

An expression is $\sqrt{48x^5} -\sqrt{75x^5}$

Step 2: Simplifying

$$\begin{gathered} =\sqrt{48x^5} -\sqrt{75x^5} \\ =\sqrt{16.3.x^2.x^2.x} -\sqrt{25.3.x^2.x^2.x} \\ =4x^2\sqrt{3x} -5x^2\sqrt{3x} \\ =-x^2\sqrt{3x} \end{gathered}$$