Question
Answer
$$2\sqrt{125}-3\sqrt{75}=10\sqrt{5}-15\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\sqrt{125}-3\sqrt{75}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10\sqrt{5}-15\sqrt{3}\end{aligned} $$ | |
| ① | $$ 2 \sqrt{125} =
2 \sqrt{ 5 ^2 \cdot 5 } =
2 \sqrt{ 5 ^2 } \, \sqrt{ 5 } =
2 \cdot 5 \sqrt{ 5 } =
10 \sqrt{ 5 } $$ |
| ② | $$ - 3 \sqrt{75} =
-3 \sqrt{ 5 ^2 \cdot 3 } =
-3 \sqrt{ 5 ^2 } \, \sqrt{ 3 } =
-3 \cdot 5 \sqrt{ 3 } =
-15 \sqrt{ 3 } $$ |
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