Question

Se considera numerele reale u=4rad6 si v= -2rad3 . Calculati;
a. I v l la -1
b. u x v
c . u :v
d. v la 3

Answer 1

a) $|v|^{-1}=\frac{1}{|v|}=\frac{1}{|-2\sqrt{3}|}=\frac{1}{2\sqrt{3}}=\frac{\sqrt{3}}{6}$
b) $u*v=4\sqrt{6}*(-2\sqrt{3})=-8*\sqrt{6*3}=-8\sqrt{2*3^{2}}=-24\sqrt{2}$
c)$\frac{u}{v}=\frac{4\sqrt{6}}{-2\sqrt{3}}=-2\frac{\sqrt{6}}{\sqrt{3}}=-2\frac{\sqrt{2}*\sqrt{3}}{\sqrt{3}}=-2\sqrt{2}$
d)$v^{3}=(-2\sqrt{3})^{3}=(-2\sqrt{3})^{2}*(-2\sqrt{3})=4*3*(-2\sqrt{3})=-24*\sqrt{3}$