Question
Answer
$$\dfrac{4\sqrt{2}}{\sqrt{57}}=\dfrac{4\sqrt{114}}{57}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{4\sqrt{2}}{\sqrt{57}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{4\sqrt{2}}{\sqrt{57}}\frac{\sqrt{57}}{\sqrt{57}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{4\sqrt{114}}{57}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{57}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 4 \sqrt{2} } \cdot \sqrt{57} = 4 \sqrt{114} $$ Simplify denominator. $$ \color{blue}{ \sqrt{57} } \cdot \sqrt{57} = 57 $$ |
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