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# How I can solve/simplify x/xsqrt(2)?

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Hi,

How can I solve/simplify this fraction?  I know the result is:  but I want the steps, how can I solve that?

Feb 11, 2018

#1
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$$\frac{x}{x\sqrt2}\\ =\frac{1}{\sqrt2}\qquad \text{the x es cancel out, note }x\ne 0\\ =\frac{1}{\sqrt2}\times \frac{\sqrt2}{\sqrt2}\\ =\frac{\sqrt2}{\sqrt4}\\ =\frac{\sqrt2}{2}$$

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Feb 11, 2018

$$\frac{x}{x\sqrt2}\\ =\frac{1}{\sqrt2}\qquad \text{the x es cancel out, note }x\ne 0\\ =\frac{1}{\sqrt2}\times \frac{\sqrt2}{\sqrt2}\\ =\frac{\sqrt2}{\sqrt4}\\ =\frac{\sqrt2}{2}$$