Rationalize the denominator of $\displaystyle \frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}$, and write your answer in the form \[ \frac{A\sqrt{2} + B\sqrt{3} + C\sqrt{7} + D\sqrt{E}}{F}, \]where everything is in simplest radical form and the fraction is in lowest terms. What is $A + B + C + D + E + F$?
+104 does this help? https://www.mathportal.org/calculators/radical-expressions/rationalize-radical-denominator.php
if not can you make the question neater?
