Question

a= $\frac{1}{2\sqrt{3}+3 }$ · $\frac{\sqrt{3} }{3}$
a=?

pleaseeee I need help!

Answer 1

Răspuns:

2-√3

Explicație pas cu pas:

a = 1/(2√3+3) • √3/3

a = √3 / 3•(2√3+3)

a = √3 • (2√3-3) / 3•[(2√3)^2 - 3^2]

a = (2•3 - 3√3) / 3•(4•3 - 9)

a = (6-3√3) / 3•(12-9)

a = 3•(2-√3) / 3•3

a =( 2- √3)/3

__________