Question
Answer
$$\dfrac{\sqrt{49}}{\sqrt{300}}=\dfrac{7\sqrt{3}}{30}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{49}}{\sqrt{300}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{49}}{\sqrt{300}}\frac{\sqrt{300}}{\sqrt{300}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{70\sqrt{3}}{300} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 70 \sqrt{ 3 } : \color{blue}{ 10 } } { 300 : \color{blue}{ 10 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{7\sqrt{3}}{30}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{300}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{49} } \cdot \sqrt{300} = 70 \sqrt{3} $$ Simplify denominator. $$ \color{blue}{ \sqrt{300} } \cdot \sqrt{300} = 300 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 10 } $. |
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