Answer
$$3\sqrt{125}^3=1875\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{125}^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3(5\sqrt{5})^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3\cdot625\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ }1875\sqrt{5}\end{aligned} $$ | |
| ① | $$ \sqrt{125} =
\sqrt{ 5 ^2 \cdot 5 } =
\sqrt{ 5 ^2 } \, \sqrt{ 5 } =
5 \sqrt{ 5 }$$ |
| ② | $$ (5\sqrt{5})^3 =
5^{ 3 } \cdot \sqrt{5} ^ { 3 } =
5^{ 3 } \sqrt{5} ^2 \cdot \sqrt{5} =
5^{ 3 } \lvert 5 \rvert \cdot \sqrt{5} =
625\sqrt{5} $$ |
This page was created using
Simplify Radical Expression