Question
Answer
$$-18\sqrt{340}=-36\sqrt{85}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-18\sqrt{340}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-18\cdot \sqrt{ 4 \cdot 85 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-18\cdot \sqrt{ 4 } \cdot \sqrt{ 85 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-18\cdot2 \sqrt{ 85 } \xlongequal{ } \\[1 em] & \xlongequal{ }-36\sqrt{85}\end{aligned} $$ | |
| ① | Factor out the largest perfect square of 340. ( in this example we factored out $ 4 $ ) |
| ② | Rewrite $ \sqrt{ 4 \cdot 85 } $ as the product of two radicals. |
| ③ | The square root of $ 4 $ is $ 2 $. |
This page was created using
Simplify Radical Expression