Problem: When written with a rational denominator, the expression 2+3−52 is equivalent to:
Answer Choices:
A. 63+6+15
B. 66−2+10
C. 102+6+10
D. 62+6−10
E. none of these
Solution:
(2+3)−52⋅(2+3)+5(2+3)+5=262+6+10
262+6+10⋅66=2⋅626+6+215=63+6+15