Question
Answer
$$-\sqrt{7}-10\sqrt{175}=-51\sqrt{7}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-\sqrt{7}-10\sqrt{175}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\sqrt{7}-50\sqrt{7} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-51\sqrt{7}\end{aligned} $$ | |
| ① | $$ - 10 \sqrt{175} =
-10 \sqrt{ 5 ^2 \cdot 7 } =
-10 \sqrt{ 5 ^2 } \, \sqrt{ 7 } =
-10 \cdot 5 \sqrt{ 7 } =
-50 \sqrt{ 7 } $$ |
| ② | Combine like terms |
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