Question
Answer
$$\dfrac{3\sqrt{26}}{3\sqrt{26}}=1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{3\sqrt{26}}{3\sqrt{26}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{3\sqrt{26}}{3\sqrt{26}}\frac{\sqrt{26}}{\sqrt{26}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{78}{78} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}} \frac{ 78 : \color{orangered}{ 78 } }{ 78 : \color{orangered}{ 78 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{1} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}1\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{26}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 3 \sqrt{26} } \cdot \sqrt{26} = 78 $$ Simplify denominator. $$ \color{blue}{ 3 \sqrt{26} } \cdot \sqrt{26} = 78 $$ |
| ③ | Divide both the top and bottom numbers by $ \color{orangered}{ 78 } $. |
| ④ | Remove 1 from denominator. |
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