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August 25th, 2019, 04:06 AM   #1
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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.
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August 25th, 2019, 04:27 AM   #2
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$\sqrt{x+1} + \dfrac{2}{\sqrt{x+1}}$

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
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August 25th, 2019, 05:42 AM   #3
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thank you skeeter! this was very helpful
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