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

1 Answer
Jul 24, 2015

You rationalize the denominator.


Your expression looks like this


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)#