Question
Answer
$$14\sqrt{84}-5\sqrt{2541}=-27\sqrt{21}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}14\sqrt{84}-5\sqrt{2541}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}28\sqrt{21}-55\sqrt{21} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-27\sqrt{21}\end{aligned} $$ | |
| ① | $$ 14 \sqrt{84} =
14 \sqrt{ 2 ^2 \cdot 21 } =
14 \sqrt{ 2 ^2 } \, \sqrt{ 21 } =
14 \cdot 2 \sqrt{ 21 } =
28 \sqrt{ 21 } $$ |
| ② | $$ - 5 \sqrt{2541} =
-5 \sqrt{ 11 ^2 \cdot 21 } =
-5 \sqrt{ 11 ^2 } \, \sqrt{ 21 } =
-5 \cdot 11 \sqrt{ 21 } =
-55 \sqrt{ 21 } $$ |
| ③ | Combine like terms |
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