Question

Exercitiul 6, vă rog.​

Answer 1

Răspuns:

Explicație pas cu pas:

1/2√3 + 1/3√3 = 3/6√3 + 2/6√3 = 5/6√3

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

(2 + 3√3 - 3√3 + 3)/3√3 = 5/3√3

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a = 5/6√3 : 5/3√3 = 5/6√3 * 3√3/5 = 1/2

a^-1 = 2, numar natural

Answer 2

Răspuns:

Explicație pas cu pas:

a = 1/√3  x ( 1/2 + 1/3 ) : 1/√3 ×[( 2+3√3)/3 - (√3-1)]

1/√3 : 1/√3 = 1/√3  × ( √3/1) = 1

a = ( 3/6 + 2/6 ) : [ ( 2+3√3)/3 - 3(√3-1)/3]

a = (5/6) : [ (2+3√3-3√3+3)/3]

a = (5/6) : ( 5/3)

a = (5/6)×(3/5)

a = 1/2

a ⁻¹ = ( 1/2)⁻¹ = 1 /(1/2) = 1 x 2/1 = 2 ∈ N