Answer
$$\frac{\sqrt{56}}{\sqrt{35}}=\frac{2\sqrt{10}}{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{56}}{\sqrt{35}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{56}}{\sqrt{35}}\frac{\sqrt{35}}{\sqrt{35}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{14\sqrt{10}}{35} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 14 \sqrt{ 10 } : \color{blue}{ 7 } } { 35 : \color{blue}{ 7 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{2\sqrt{10}}{5}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{35}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{56} } \cdot \sqrt{35} = 14 \sqrt{10} $$ Simplify denominator. $$ \color{blue}{ \sqrt{35} } \cdot \sqrt{35} = 35 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 7 } $. |
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