Question
Answer
$$-10\sqrt{90}+7\sqrt{10}=-23\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-10\sqrt{90}+7\sqrt{10}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-30\sqrt{10}+7\sqrt{10} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-23\sqrt{10}\end{aligned} $$ | |
| ① | $$ - 10 \sqrt{90} =
-10 \sqrt{ 3 ^2 \cdot 10 } =
-10 \sqrt{ 3 ^2 } \, \sqrt{ 10 } =
-10 \cdot 3 \sqrt{ 10 } =
-30 \sqrt{ 10 } $$ |
| ② | Combine like terms |
This page was created using
Simplify Radical Expression