Question
Answer
$$3\sqrt{10}-10\sqrt{40}=-17\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{10}-10\sqrt{40}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3\sqrt{10}-20\sqrt{10} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-17\sqrt{10}\end{aligned} $$ | |
| ① | $$ - 10 \sqrt{40} =
-10 \sqrt{ 2 ^2 \cdot 10 } =
-10 \sqrt{ 2 ^2 } \, \sqrt{ 10 } =
-10 \cdot 2 \sqrt{ 10 } =
-20 \sqrt{ 10 } $$ |
| ② | Combine like terms |
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