Question
Answer
$$30\sqrt{2268}=540\sqrt{7}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}30\sqrt{2268}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}30\cdot \sqrt{ 324 \cdot 7 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}30\cdot \sqrt{ 324 } \cdot \sqrt{ 7 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}30\cdot18 \sqrt{ 7 } \xlongequal{ } \\[1 em] & \xlongequal{ }540\sqrt{7}\end{aligned} $$ | |
| ① | Factor out the largest perfect square of 2268. ( in this example we factored out $ 324 $ ) |
| ② | Rewrite $ \sqrt{ 324 \cdot 7 } $ as the product of two radicals. |
| ③ | The square root of $ 324 $ is $ 18 $. |
This page was created using
Simplify Radical Expression