How do you simplify: x/square root of 2?

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Answer 1 · 2015-07-24T16:26:07

You rationalize the denominator.

Your expression looks like this

#x/sqrt(2)#

The only option available to you when it comes to simplify this expression is to rationalize the denominator.

You can do this by multiplying the numerator and the denominator by #sqrt(2)# to get

#(x * sqrt(2))/underbrace((sqrt(2) * sqrt(2)))_(color(blue)("=2")) = (x * sqrt(2))/color(blue)(2)#

Thus, the simplified form of your initial expression is

#x/sqrt(2) = color(green)( (x * sqrt(2))/2)#