Question

aratati ca (2-1/2)(3-1/3)(4-1/4)×1/5=3​

Answer 1

Răspuns:

Explicație pas cu pas:

(2-1/2)·(3-1/3)·(4-1/4)·1/5 = 3​  ?

Calculam fiecare paranteza separat :

(²⁾2-1/2) (4-1)/2 = 3/2

(³⁾3-1/3) = (9-1)/3 = 8/3

(⁴⁾4-1/4) = (16-1)/4 = 15/4 =>

(2-1/2)·(3-1/3)·(4-1/4)·1/5 = 3/2 · 8/3 · 15/4 · 1/5 =

= (3·8)/(2·3) · (15·1)/(4·5)  = 8/2 · 3/4 =

= (8·3)/(2·4) = 8·3/8 = 3 = >

(2-1/2)·(3-1/3)·(4-1/4)·1/5 = 3​

Answer 2

(2-1/2)(3-1/3)(4-1/4)×1/5=

=(4/2-1/2)(9/3-1/3)(16/4-1/4)×1/5=

=3/2×8/3×15/4×1/5=

=4×15/4×1/5=

=15×1/5=3