Question #79897

1 Answer
Oct 16, 2016

37x33y=363xy23y

Explanation:

Assuming "rationalize" refers to rationalizing the denominator , note that 33y is the value such that (33y)3=3y. We will use that fact to eliminate the root from the denominator.

37x33y=37x(33y)233y(33y)2

=37x3(3y)2(33y)3

=37x(3y)23y

=363xy23y

(Note that we also used the properties (ax)b=axb and axay=axy during the process)