Question
Answer
$$\dfrac{1}{\sqrt{2}+\sqrt{3}+\sqrt{5}+\sqrt{7}+\sqrt{11}+\sqrt{13}+\sqrt{17}+\sqrt{2}\cdot3}=\dfrac{1}{4\sqrt{2}+\sqrt{3}+\sqrt{5}+\sqrt{7}+\sqrt{11}+\sqrt{13}+\sqrt{17}}$$
Explanation
| $$ \begin{aligned}\frac{1}{\sqrt{2}+\sqrt{3}+\sqrt{5}+\sqrt{7}+\sqrt{11}+\sqrt{13}+\sqrt{17}+\sqrt{2}\cdot3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{4\sqrt{2}+\sqrt{3}+\sqrt{5}+\sqrt{7}+\sqrt{11}+\sqrt{13}+\sqrt{17}}\end{aligned} $$ | |
| ① | Simplify numerator and denominator |
This page was created using
Rationalize Denominator Calculator