Answer
$$\frac{\sqrt{53}}{\sqrt{78}}=\frac{\sqrt{4134}}{78}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{53}}{\sqrt{78}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{53}}{\sqrt{78}}\frac{\sqrt{78}}{\sqrt{78}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{\sqrt{4134}}{78}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{78}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{53} } \cdot \sqrt{78} = \sqrt{4134} $$ Simplify denominator. $$ \color{blue}{ \sqrt{78} } \cdot \sqrt{78} = 78 $$ |
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