Comparison of Two Radical Expressions*
Which is larger? for which x and y? Prove.
If we assumed that the order is the same for all x and y, then
we could test a particular point (x,y) such as (0,0). For (0,0)
the first equation has z = 4 and for the second equation z = 2.
Thus, at (0,0) the first is larger than the second. The problem
Prove the first is greater than
the second for all x and y.
is a GCF graph of the two equations:
Click HERE for a
link to the GCF file.
*Problem suggested by William Sergeant, Central Michigan University.