Question
Answer
$$3\sqrt{27}^2=81$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{27}^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3(3\sqrt{3})^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3\cdot27 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}81\end{aligned} $$ | |
| ① | $$ \sqrt{27} =
\sqrt{ 3 ^2 \cdot 3 } =
\sqrt{ 3 ^2 } \, \sqrt{ 3 } =
3 \sqrt{ 3 }$$ |
| ② | $$ (3\sqrt{3})^2 =
3^{ 2 } \cdot \sqrt{3} ^ { 2 } =
3^{ 2 } \sqrt{3} ^2 =
3^{ 2 } \lvert 3 \rvert =
27 $$ |
| ③ | $ 3 \cdot 27 = 81 $ |
This page was created using
Simplify Radical Expression