Question
Answer
$$4\sqrt{128}=32\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4\sqrt{128}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4\cdot \sqrt{ 64 \cdot 2 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4\cdot \sqrt{ 64 } \cdot \sqrt{ 2 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}4\cdot8 \sqrt{ 2 } \xlongequal{ } \\[1 em] & \xlongequal{ }32\sqrt{2}\end{aligned} $$ | |
| ① | Factor out the largest perfect square of 128. ( in this example we factored out $ 64 $ ) |
| ② | Rewrite $ \sqrt{ 64 \cdot 2 } $ as the product of two radicals. |
| ③ | The square root of $ 64 $ is $ 8 $. |
This page was created using
Simplify Radical Expression