[tex]\displaystyle a)3\left(2+ \sqrt{2} \right)-3 \sqrt{2} =6+3 \sqrt{2} -3 \sqrt{2} =6\\ \\ b)3\left(2- \sqrt{2} \right)+3 \sqrt{2} =6-3 \sqrt{2} +3 \sqrt{2} =6 \\ \\ c) \sqrt{8} -2\left( \sqrt{2} -3 \right)=2 \sqrt{2} -2 \sqrt{2} +6=6 \\ \\ d)2 \left(5- \sqrt{2} \right)+2 \sqrt{2} =10-2 \sqrt{2} +2 \sqrt{2} =10 \\ \\ e)3 \left(4- \sqrt{3} \right)+3 \sqrt{3}=12-3 \sqrt{3} +3 \sqrt{3} =12 \\ \\ f)2^{-1}+2^{-2}= \frac{1}{2} + \frac{1}{2^2} = \frac{1}{2} + \frac{1}{4} = \frac{2+1}{4} = \frac{3}{4} =0,75[/tex]
