# How do you simplify sqrt(20x^2)*sqrt(20x)?

Sep 3, 2016

$20 x \sqrt{x}$

#### Explanation:

As an example of concept consider
$\sqrt{2} \times \sqrt{2} = \sqrt{2 \times 2} = \sqrt{{2}^{2}} = 2$

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Now apply this concept to the question.

$\sqrt{20 {x}^{2}} \times \sqrt{20 x} = \sqrt{{20}^{2} \times {x}^{2} \times x} = 20 x \sqrt{x}$

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If you are ever not sure how something behaves then try it with simple values to see what happens. Then apply your understanding of the process.

Sep 4, 2016

$20 {x}^{\frac{3}{2}}$

#### Explanation:

We have: $\sqrt{20 {x}^{2}} \cdot \sqrt{20 x}$

$= \sqrt{20} \cdot \sqrt{{x}^{2}} \cdot \sqrt{20} \cdot \sqrt{x}$

$= 20 \cdot x \cdot \sqrt{x}$

$= 20 \cdot {x}^{1 + \frac{1}{2}}$

$= 20 \cdot {x}^{\frac{3}{2}}$

$= 20 {x}^{\frac{3}{2}}$