Question
Answer
$$\sqrt{300}+\sqrt{100}+\sqrt{75}=15\sqrt{3}+10$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{300}+\sqrt{100}+\sqrt{75}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}10\sqrt{3}+10+5\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}15\sqrt{3}+10\end{aligned} $$ | |
| ① | $$ \sqrt{300} =
\sqrt{ 10 ^2 \cdot 3 } =
\sqrt{ 10 ^2 } \, \sqrt{ 3 } =
10 \sqrt{ 3 }$$ |
| ② | $$ \sqrt{100} = 10 $$ |
| ③ | $$ \sqrt{75} =
\sqrt{ 5 ^2 \cdot 3 } =
\sqrt{ 5 ^2 } \, \sqrt{ 3 } =
5 \sqrt{ 3 }$$ |
| ④ | Combine like terms |
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