##

Given: X=3√27+√48+√75 and Y=√12-2√48+√192.

1) Write X and Y in the form of a√b.

2) Compare X and Y.

3) Rationalize the denominator of: X/(Y+1)

4) Assume that the dimensions of the rectangle ABCD are U and V where U=√XY and V=X+Y.

Calculate U and V, then evaluate the area of ABCD.

### Select one or more of the following: