Matematik 5000 3c Plus basåret, 2021
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Övning ger färdighet

\sqrt{\dfrac{6}{25}+\dfrac{2}{5}} \stackrel{?}{=} \dfrac45
\sqrt{\dfrac{6}{25}+\dfrac{10}{25}} \stackrel{?}{=} \dfrac45
\sqrt{\dfrac{16}{25}} \stackrel{?}{=} \dfrac45
\dfrac{4}{5}=\dfrac45 \ \Large{{\color{#416767}{\checkmark}}}

\dfrac{1}{2}+ \sqrt{\left(\dfrac12\right)^2+1}\stackrel{?}{=}\dfrac{1+\sqrt{5}}{2}
\dfrac{1}{2}+ \sqrt{\dfrac14+1}\stackrel{?}{=}\dfrac{1+\sqrt{5}}{2}
\dfrac{1}{2}+ \sqrt{\dfrac14+\dfrac44}\stackrel{?}{=}\dfrac{1+\sqrt{5}}{2}
\dfrac{1}{2}+ \sqrt{\dfrac54}\stackrel{?}{=}\dfrac{1+\sqrt{5}}{2}
1/2+ sqrt(5)/2? =1+sqrt(5)/2
1+sqrt(5)/2=1+sqrt(5)/2 ✓