Question
Answer
$$\dfrac{3\sqrt{2}}{\sqrt{7}+\sqrt{5}+\sqrt{12}}=\dfrac{3\sqrt{2}}{\sqrt{7}+\sqrt{5}+2\sqrt{3}}$$
Explanation
| $$ \begin{aligned}\frac{3\sqrt{2}}{\sqrt{7}+\sqrt{5}+\sqrt{12}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{3\sqrt{2}}{\sqrt{7}+\sqrt{5}+2\sqrt{3}}\end{aligned} $$ | |
| ① | $$ \sqrt{12} =
\sqrt{ 2 ^2 \cdot 3 } =
\sqrt{ 2 ^2 } \, \sqrt{ 3 } =
2 \sqrt{ 3 }$$ |
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