Question
Answer
$$\dfrac{\sqrt{15210}}{26}=\dfrac{3\sqrt{10}}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{15210}}{26}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{ \sqrt{ 1521 \cdot 10 } }{ 26 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{ \sqrt{ 1521 } \cdot \sqrt{ 10 } }{ 26 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{39\sqrt{10}}{26} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}} \frac{ 39 \cdot \sqrt{ 10 } : \color{orangered}{ 13 }}{ 26 : \color{orangered}{ 13 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{3\sqrt{10}}{2}\end{aligned} $$ | |
| ① | Factor out the largest perfect square of 15210. ( in this example we factored out $ 1521 $ ) |
| ② | Rewrite $ \sqrt{ 1521 \cdot 10 } $ as the product of two radicals. |
| ③ | The square root of $ 1521 $ is $ 39 $. |
| ④ | Divide numerator and denominator by $ \color{orangered}{ 13 } $. |
This page was created using
Simplify Radical Expression