How do you Rationalize the denominator of 1/x+sqrt x^2-4 ?
1 Answer
Feb 5, 2018
See the answer below...
Explanation:
Problem is
#1/(x+sqrt(x^2-4)#
- To rationalize , we have to multiply both the nominator and denominator with
#color(red)(x-sqrt(x^2-4)# .- Hence, the answer is
#(1 cdotcolor(red)((x-sqrt(x^2-4))))/((color(red)(x-sqrt(x^2-4)))(x+sqrt(x^2-4)))=(color(red)(x-sqrt(x^2-4)))/(x^2-x^2+4)=(color(red)(x-sqrt(x^2-4)))/4# It is the answer.
Hope it helps...
Thank you....
