# Math is radical 2

Algebra Level 4

Consider the following equation $1+\sqrt{2}+\sqrt{3}+\sqrt{6}=\sqrt{a+\sqrt{b+\sqrt{c+\sqrt{d}}}}$ where $$\large\color{blue}{a,b,c,d}$$ are integers. Find $$\large\color{blue}{a+b+c+d}$$.

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