Question

V3+V12+V27+V48+...+V300
V-radical​

Answer 1

Răspuns:

rad12=2rad3

rad27=3rad3

rad48=4rad3

rad300=10rad3

rad3(1+2+3+4+...+10)=

rad3•11•10/2=

55rad3

Answer 2

Răspuns:

    $55\sqrt{3}$

Explicație pas cu pas:

    $\sqrt{3}+\sqrt{12}+\sqrt{27}+\sqrt{48}+...+\sqrt{300}$

    $\sqrt{3}+2\sqrt{3}+3\sqrt{3}+4\sqrt{3}+...+10\sqrt{3}$

    $\sqrt{3}(1+2+3+4+...+10)$

    $\sqrt{3}*10*(10+1):2$

    $\sqrt{3}*5*11$

    $\sqrt{3}*55=\boxed{55\sqrt{3}}$