How do you simplify #sqrt (x-2) +5 / sqrt(x-2#?

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Answer 1 · 2016-07-31T21:15:51

You need to put on a common denominator.

#=(sqrt(x - 2) xx sqrt(x - 2) + 5)/(sqrt(x - 2))#

#=(x - 2 + 5)/(sqrt(x - 2))#

#=(x + 3)/(sqrt(x - 2))#

You will want to rationalize the denominator now:

#=(x + 3)/sqrt(x - 2) xx sqrt(x - 2)/sqrt(x - 2)#

#=((x + 3)(sqrt(x - 2)))/(x - 2)#

Hopefully this helps!