Question
Answer
$$\dfrac{-7.1}{\sqrt{61.33}}=\dfrac{-7\sqrt{61}}{61}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{-7.1}{\sqrt{61.33}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{-7.1}{\sqrt{61.33}}\frac{\sqrt{61}}{\sqrt{61}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{-7\sqrt{61}}{61}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{61}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ -7 } \cdot \sqrt{61} = - 7 \sqrt{61} $$ Simplify denominator. $$ \color{blue}{ \sqrt{61} } \cdot \sqrt{61} = 61 $$ |
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