Question
Answer
$$\dfrac{\sqrt{65}}{\sqrt{129}}=\dfrac{\sqrt{8385}}{129}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{65}}{\sqrt{129}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{65}}{\sqrt{129}}\frac{\sqrt{129}}{\sqrt{129}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{\sqrt{8385}}{129}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{129}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{65} } \cdot \sqrt{129} = \sqrt{8385} $$ Simplify denominator. $$ \color{blue}{ \sqrt{129} } \cdot \sqrt{129} = 129 $$ |
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