Answer
$$3\sqrt{36}+4\sqrt{16}-2\sqrt{245}=34-14\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{36}+4\sqrt{16}-2\sqrt{245}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}18+16-14\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}34-14\sqrt{5}\end{aligned} $$ | |
| ① | $$ 3 \sqrt{36} = 3 \cdot 6 = 18 $$ |
| ② | $$ 4 \sqrt{16} = 4 \cdot 4 = 16 $$ |
| ③ | $$ - 2 \sqrt{245} =
-2 \sqrt{ 7 ^2 \cdot 5 } =
-2 \sqrt{ 7 ^2 } \, \sqrt{ 5 } =
-2 \cdot 7 \sqrt{ 5 } =
-14 \sqrt{ 5 } $$ |
| ④ | Combine like terms |
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