Question
Answer
$$8\sqrt{125}-7\sqrt{80}=12\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8\sqrt{125}-7\sqrt{80}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}40\sqrt{5}-28\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}12\sqrt{5}\end{aligned} $$ | |
| ① | $$ 8 \sqrt{125} =
8 \sqrt{ 5 ^2 \cdot 5 } =
8 \sqrt{ 5 ^2 } \, \sqrt{ 5 } =
8 \cdot 5 \sqrt{ 5 } =
40 \sqrt{ 5 } $$ |
| ② | $$ - 7 \sqrt{80} =
-7 \sqrt{ 4 ^2 \cdot 5 } =
-7 \sqrt{ 4 ^2 } \, \sqrt{ 5 } =
-7 \cdot 4 \sqrt{ 5 } =
-28 \sqrt{ 5 } $$ |
| ③ | Combine like terms |
This page was created using
Simplify Radical Expression