Question

Help with adding rational expressions. How do I add 5+ sqrt(x) + (1/1+x)

Answer 1

\[5+ \sqrt(x) + (1 \div (1+x))\]

Answer 2

\[\huge\rm 5+\sqrt{x} +\frac{1}{1+x}\] find the common denominator

Answer 3

5+sqrt{x} is same as 5+sqrt{x} over one \[\huge\rm \frac{5+\sqrt{x}}{1} +\frac{1}{1+x}\]
so what is the common denominator

Answer 4

1+x?

Answer 5

yes right so when we find common denominator
we should multiply the numerator of 1st fraction by the denominator of 2nd fraction
and multiply the numerator of 2nd fraction by the denominator of 1st fraction
(just like cross multiply\[\huge\rm \frac{ (1+x)(5+\sqrt{x} )+1(1)}{ 1+x }\] )