Question
Answer
$$-3\sqrt{125}-5\sqrt{5}=-20\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3\sqrt{125}-5\sqrt{5}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-15\sqrt{5}-5\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-20\sqrt{5}\end{aligned} $$ | |
| ① | $$ - 3 \sqrt{125} =
-3 \sqrt{ 5 ^2 \cdot 5 } =
-3 \sqrt{ 5 ^2 } \, \sqrt{ 5 } =
-3 \cdot 5 \sqrt{ 5 } =
-15 \sqrt{ 5 } $$ |
| ② | Combine like terms |
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