Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$19-8 \sqrt{ 3 } +2 \sqrt{ 3(19-8 \sqrt{ 3 } ) } +3$$

Answer

22-8*sqrt(3)+2*sqrt(3*(19-8*sqrt(3)))

Solution


Collect like terms.
\[(19+3)-8\sqrt{3}+2\sqrt{3(19-8\sqrt{3})}\]
Simplify.
\[22-8\sqrt{3}+2\sqrt{3(19-8\sqrt{3})}\]
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