Homework SourseRationalize the denominator and simplify to the lowest term
Rationalize the denominator and simplify to the lowest term x/ (sqrt(x+1) -1)
Solution
[x/((x+1) -1)]
Rationalize the denominator => multiply and divide by ((x+1) +1)
=[x/((x+1) -1)]*[((x+1) +1)/((x+1) +1)]
=[x((x+1) +1)/((x+1) -1)((x+1) +1)]
(a-b)(a+b)=a2-b2
=[x((x+1) +1)/((x+1)2 -12)]
=[x((x+1) +1)/(x+1 -1)]
=[x((x+1) +1)/x]
=((x+1) +1)
![Rationalize the denominator and simplify to the lowest term x/ (sqrt(x+1) -1)Solution[x/((x+1) -1)] Rationalize the denominator => multiply and divide by ((x](/WebImages/7/rationalize-the-denominator-and-simplify-to-the-lowest-term-990547-1761509307-0.webp "Rationalize the denominator and simplify to the lowest term x/ (sqrt(x+1) -1)Solution[x/((x+1) -1)] Rationalize the denominator => multiply and divide by ((x")
