Question
Answer
$$3\cdot\dfrac{\sqrt{52}}{\sqrt{7}}=\dfrac{6\sqrt{91}}{7}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3 \cdot \frac{\sqrt{52}}{\sqrt{7}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3 \cdot \frac{2\sqrt{91}}{7} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{6\sqrt{91}}{7}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ \sqrt{52} } \cdot \sqrt{7} = 2 \sqrt{91} $$ Simplify denominator. $$ \color{blue}{ \sqrt{7} } \cdot \sqrt{7} = 7 $$ |
| ② | $$ \color{blue}{ 3 } \cdot 2 \sqrt{91} = 6 \sqrt{91} $$$$ \color{blue}{ 1 } \cdot 7 = 7 $$ |
This page was created using
Simplify Radical Expression