# How do you simplify sqrt(98x^3)3?

Oct 23, 2015

$21 x \sqrt{2 x}$

#### Explanation:

First lets re-arrange the equation:
$\sqrt{98 {x}^{3}} \cdot 3$ $\Rightarrow$ $3 \cdot \sqrt{98 {x}^{3}}$
Now lets see what we can extract from inside the radical sign
$3 \cdot \sqrt{2 \cdot 7 \cdot 7 \cdot x \cdot x \cdot x}$

Now because this is a square root , we can pull out the $\sqrt{7 \cdot 7}$ and $\sqrt{x \cdot x}$ and we are left with $\sqrt{2 \cdot x}$ in the radical.

Rewrite:
$3 \cdot \sqrt{7 \cdot 7} \cdot \sqrt{x \cdot x} \cdot \sqrt{2 x}$ $\Rightarrow$ $\left(3 \cdot 7 \cdot x\right) \cdot \sqrt{2 x}$

$21 x \cdot \sqrt{2 x}$