Question
Answer
$$-5\sqrt{126}+5\sqrt{56}=-5\sqrt{14}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5\sqrt{126}+5\sqrt{56}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-15\sqrt{14}+10\sqrt{14} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-5\sqrt{14}\end{aligned} $$ | |
| ① | $$ - 5 \sqrt{126} =
-5 \sqrt{ 3 ^2 \cdot 14 } =
-5 \sqrt{ 3 ^2 } \, \sqrt{ 14 } =
-5 \cdot 3 \sqrt{ 14 } =
-15 \sqrt{ 14 } $$ |
| ② | $$ 5 \sqrt{56} =
5 \sqrt{ 2 ^2 \cdot 14 } =
5 \sqrt{ 2 ^2 } \, \sqrt{ 14 } =
5 \cdot 2 \sqrt{ 14 } =
10 \sqrt{ 14 } $$ |
| ③ | Combine like terms |
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