Arrange the following numbers in increasing order :
A. $$\sqrt{59} - \sqrt{51}$$
B. $$\sqrt{37} - \sqrt{29}$$
C. $$\sqrt{87} - \sqrt{79}$$
D. $$\sqrt{79} - \sqrt{71}$$
Choose the correct answer from the options given below:

8 = $$\left(\sqrt{59}-\sqrt{51}\right)\left(\ \sqrt{\ 59}+\sqrt{51}\right)$$

8 = $$\left(\sqrt{37}-\sqrt{29}\right)\left(\ \sqrt{37}+\sqrt{29}\right)$$

We know that, $$\sqrt{59}+\sqrt{51}$$ is greater than $$\sqrt{37}+\sqrt{29}$$

This implies, $$\sqrt{37}-\sqrt{29}$$ is greater than $$\sqrt{59}-\sqrt{51}$$ as the product is constant.

Similarly, $$\sqrt{59}-\sqrt{51}$$ is greater than $$\sqrt{79}-\sqrt{71}$$ and $$\sqrt{79}-\sqrt{71}$$ is greater than $$\sqrt{87}-\sqrt{79}$$.

The correct order is B > A > D > C

The answer is option D.