Example

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

Question

$$\frac{1}{2-\sqrt{3}}+\frac{1}{2+\sqrt{3}}-$$

Answer

23

Solution


Collect like terms.
\[(12+12)+(-\sqrt{3}+\sqrt{3})-1\]
Simplify.
\[24-1\]
Simplify.
\[23\]
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