Question

Найдите значение корня. а) √6 1/4 б) √1 7/9 с) √0,(4) д) √2,(7) е) √5,(4)

Answer 1

Пошаговое объяснение:

0,(4) = (4-0)/9 = 4/9

2,(7) = 2 (7-0)/9 = 2 7/9

5,(4) = 5 (4-0)/9 = 5 4/9

а) √6 1/4 = √25/4 = 5/2 = 2 1/2

в) √1 7/9 = √16/9 = 4/3 = 1 1/3

с) √0,(4) = √4/9 = 2/3

д) √2,(7) = √2 7/9 = √25/9 = 5/3 = 1 2/3

е) √5,(4) = √5 4/9 = √49/9 = 7/3 = 2 1/3

Answer 2

а) √6 1/4 = √(6 + 1/4) = √(24/4 + 1/4) = √(25/4) = 5/2
б) √1 7/9 = √(1 + 7/9) = √(9/9 + 7/9) = √(16/9) = 4/3
с) √0,(4) = √(0.444444...) = √(4/9) = 2/3
д) √2,(7) = √(2.7777...) = √(27/9 + 27/90 + 27/900 + ...) ≈ √2.77 = 1.664
е) √5,(4) = √(5.4444...) = √(54/9 + 54/90 + 54/900 + ...) ≈ √5.44 = 2.33