August 25th, 2019, 04:06 AM  #1 
Newbie Joined: Sep 2018 From: Spain Posts: 17 Thanks: 0  operations with functions
Hi, it's a math problem. I can't remember the rules for adding, subtracting, multiplying and dividing fractions with roots. For example, f(x) the square root of x+1 added to f (g) 2/the square root of x+1. The answer was x+3 over the square root of x+1, but I don't know how they obtained this, the rules etc. Thank you. P.S. I would like to know what topic to study concerning the rules of adding, multiplying, dividing root fractions. Thank you. Last edited by skipjack; August 25th, 2019 at 04:39 AM. 
August 25th, 2019, 04:27 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 3,016 Thanks: 1600 
$\sqrt{x+1} + \dfrac{2}{\sqrt{x+1}}$ common denominator is $\sqrt{x+1}$ ... $\dfrac{\sqrt{x+1} \cdot \sqrt{x+1}}{\sqrt{x+1}} + \dfrac{2}{\sqrt{x+1}}$ note $\sqrt{x+1} \cdot \sqrt{x+1} = x+1$ ... $\dfrac{x+1}{\sqrt{x+1}} + \dfrac{2}{\sqrt{x+1}} = \dfrac{x+1+2}{\sqrt{x+1}} = \dfrac{x+3}{\sqrt{x+1}}$ Recommend you search adding rational expressions 
August 25th, 2019, 05:42 AM  #3 
Newbie Joined: Sep 2018 From: Spain Posts: 17 Thanks: 0 
thank you skeeter! this was very helpful 

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