Question
Answer
$$5\sqrt{135}+5\sqrt{15}=20\sqrt{15}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5\sqrt{135}+5\sqrt{15}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15\sqrt{15}+5\sqrt{15} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}20\sqrt{15}\end{aligned} $$ | |
| ① | $$ 5 \sqrt{135} =
5 \sqrt{ 3 ^2 \cdot 15 } =
5 \sqrt{ 3 ^2 } \, \sqrt{ 15 } =
5 \cdot 3 \sqrt{ 15 } =
15 \sqrt{ 15 } $$ |
| ② | Combine like terms |
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