Question 9
In the following, x, y, z are whole numbers greater than 0. What is the product of x, y and z?
$\displaystyle\dfrac{1}{x+\dfrac{1}{y+\dfrac{1}{z+\dfrac1z}}}=1-\dfrac{1}{4+\dfrac{1}{4+\dfrac14}}$
A. 6
B. 8
C. 12
D. 24
E. None of the above
**Editorial note for this self-study exercise:** Enter the numeric product, not an option letter.
$\displaystyle\dfrac{1}{x+\dfrac{1}{y+\dfrac{1}{z+\dfrac1z}}}=1-\dfrac{1}{4+\dfrac{1}{4+\dfrac14}}$
A. 6
B. 8
C. 12
D. 24
E. None of the above
**Editorial note for this self-study exercise:** Enter the numeric product, not an option letter.