Question

1 pe 1+√2 + 1pe √2+√3 + 1 pe √3+2=? ajutor!!

Answer 1

1/(1+√2)= (1-√2) /(1-2) = -(1-√2) = √2 -1    (1)

1/ (√2+√3) = (√2-√3) /(2-3) = √3-√2            (2)

1/(√3+2) = (√3 - 2) / (3 -4) = 2-√3               (3)

(1) + (2) + (3) = √2-1 + √3 - √2 + 2-√3 = 1