Question
Answer
$$3\sqrt{250}-3\sqrt{54}=15\sqrt{10}-9\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{250}-3\sqrt{54}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}15\sqrt{10}-9\sqrt{6}\end{aligned} $$ | |
| ① | $$ 3 \sqrt{250} =
3 \sqrt{ 5 ^2 \cdot 10 } =
3 \sqrt{ 5 ^2 } \, \sqrt{ 10 } =
3 \cdot 5 \sqrt{ 10 } =
15 \sqrt{ 10 } $$ |
| ② | $$ - 3 \sqrt{54} =
-3 \sqrt{ 3 ^2 \cdot 6 } =
-3 \sqrt{ 3 ^2 } \, \sqrt{ 6 } =
-3 \cdot 3 \sqrt{ 6 } =
-9 \sqrt{ 6 } $$ |
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