SOLUTION: Rationalize the denominator an simplify. 3 / sqrt (x) + 5 three divided by sqrt (x) plus five. I started by mutiplying the demoninator of sqrt (x) + 5 to the numerator an

Algebra.Com
Question 146575: Rationalize the denominator an simplify.
3 / sqrt (x) + 5
three divided by sqrt (x) plus five.
I started by mutiplying the demoninator of sqrt (x) + 5 to the numerator and the denominator. Next I distributed the numerator and squared the denominator. Not sure where to go after that. Thanks!

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

There might be other methods, but the simplest is to multiply thru by the "conjugate", a term that actually has a meaning to do with imaginary numbers.
Multiply thru by
-----------------

=

RELATED QUESTIONS

Rationalize the denominator and simplify. 3 / sqrt (x+5) Three divided by sqrt of x (answered by nerdybill)
Rationalize the numerator and simplify. 5 sqrt (x) / sqrt (7y) Five sqrt of x... (answered by edjones)
Rationalize the denominator and simplify sqrt 10 divided by sqrt... (answered by algebrahouse.com)
rationalize the denominator: sqrt 2 divided by sqrt 6 - sqrt... (answered by jim_thompson5910)
Simplify: (5)/ 2 {{{sqrt (x-3)}}}{{{ sqrt (y)}}} Rationalize the... (answered by MathLover1)
Rationalize the denominator. 3/... (answered by harpazo)
Rationalize the denominator. 3 _________... (answered by jim_thompson5910)
rationalize the denominator, then simplify, if possible sqrt (x)-2/sqrt... (answered by venugopalramana)
Rationalize the denominator {{{sqrt(5/(8x))}}}... (answered by Fombitz,Edwin McCravy)