Răspuns:
Explicație pas cu pas:
a) 2,(3) şi 1,75
mg (a,b) = √(a·b)
a = 2,(3) = (23-2)/9 = 21/9⁽³ = 7/3
b = 1,75 = 175/100⁽²⁵ = 3/4
mg (a,b) = √(7/3 ·3/4) = √(7/4) = √7/2
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b) 1,25 şi 1,(6)
a = 1,25 = 125/100⁽²⁵ = 5/4
b = 1,(6) = (16-1)/9 = 15/9⁽³ = 5/3
mg (a,b) = √(5/4·5/3) = 5√(1/12) = 5√12/12 = 5·2·√3/12 = 5√3/6
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c) 3,75 şi 0,2(7)
a = 3,75 = 375/100⁽²⁵ = 15/4
b = 0,2(7) = (27-2)/90 = 25/90⁽⁵ = 5/18
mg (a,b) = √(15/4·5/18) = √(75/72) = √(25·3/24·3) =
= 5/√24 = 5/(2√6) = 5√6/12
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d) 3,6(1) şi 1,04
a = 3,6(1) = (361-36)/90 = 325/90⁽⁵ = 65/18
1,04 = 104/100⁽⁴ = 26/25
mg (a,b) = √(65/18 ·26/25) = √(65·13/9·25) = 13√5/15
