Question
Answer
$$6\sqrt{175}+7\sqrt{28}=44\sqrt{7}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6\sqrt{175}+7\sqrt{28}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}30\sqrt{7}+14\sqrt{7} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}44\sqrt{7}\end{aligned} $$ | |
| ① | $$ 6 \sqrt{175} =
6 \sqrt{ 5 ^2 \cdot 7 } =
6 \sqrt{ 5 ^2 } \, \sqrt{ 7 } =
6 \cdot 5 \sqrt{ 7 } =
30 \sqrt{ 7 } $$ |
| ② | $$ 7 \sqrt{28} =
7 \sqrt{ 2 ^2 \cdot 7 } =
7 \sqrt{ 2 ^2 } \, \sqrt{ 7 } =
7 \cdot 2 \sqrt{ 7 } =
14 \sqrt{ 7 } $$ |
| ③ | Combine like terms |
This page was created using
Simplify Radical Expression