Question
Answer
$$3\sqrt{175}+8\sqrt{112}=47\sqrt{7}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{175}+8\sqrt{112}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}15\sqrt{7}+32\sqrt{7} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}47\sqrt{7}\end{aligned} $$ | |
| ① | $$ 3 \sqrt{175} =
3 \sqrt{ 5 ^2 \cdot 7 } =
3 \sqrt{ 5 ^2 } \, \sqrt{ 7 } =
3 \cdot 5 \sqrt{ 7 } =
15 \sqrt{ 7 } $$ |
| ② | $$ 8 \sqrt{112} =
8 \sqrt{ 4 ^2 \cdot 7 } =
8 \sqrt{ 4 ^2 } \, \sqrt{ 7 } =
8 \cdot 4 \sqrt{ 7 } =
32 \sqrt{ 7 } $$ |
| ③ | Combine like terms |
This page was created using
Simplify Radical Expression