MathDB

a

b

, and

c

are positive integers, the radicals \sqrt{a\plus{}\frac{b}{c}} and

a\sqrt{\frac{b}{c}}

are equal when and only when: (A)\ a\equal{}b\equal{}c\equal{}1 \qquad (B)\ a\equal{}b\text{ and }c\equal{}a\equal{}1 \qquad (C)\ c\equal{}\frac{b(a^2\minus{}1)}{2} \\ (D)\ a\equal{}b \text{ and }c\text{ is any value} \qquad (E)\ a\equal{}b \text{ and }c\equal{}a\minus{}1

Problem Statement