Question
Answer
$$-9\sqrt{14}-8\sqrt{56}=-25\sqrt{14}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-9\sqrt{14}-8\sqrt{56}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-9\sqrt{14}-16\sqrt{14} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-25\sqrt{14}\end{aligned} $$ | |
| ① | $$ - 8 \sqrt{56} =
-8 \sqrt{ 2 ^2 \cdot 14 } =
-8 \sqrt{ 2 ^2 } \, \sqrt{ 14 } =
-8 \cdot 2 \sqrt{ 14 } =
-16 \sqrt{ 14 } $$ |
| ② | Combine like terms |
This page was created using
Simplify Radical Expression