Monthly Archives: March 2020

The Telescopic Method is a technique for calculating the summary or product of a certain series in which each term can be decomposed into multiple parts, with some of them cancelling those of the next term. For example, to calculate … Continue reading →

Let $a$ and $b$ are positive integers that makes $\dfrac{\sqrt{2}+\sqrt{a}}{\sqrt{3}+\sqrt{b}}$ a rational number, where $a <= b$. Find all pairs of $(a, b)$.