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A)[(1/2)² + (1/2)³ ] : ( 1 - 1/4 ) =
[1/4 + 1/8] : (4/4 - 1/4) =
[2/8 + 1/8 ] : (3/4 ) =
3/8 : 3/4 =
3/8 X 4/3 = 12/24 = 1/2
B)√(1 - 1/3) - 2/9 = √(3/3 - 1/3) - 2/9 = √2/3 - 2/9 = √√6/9 - 2/9 = √4/9 = 2/3
C) 1 + {15/4 - [(1/2)² : (1² + 3/4 )]} =
1 + {15/4 - [1/4 : (1 + 3/4)]] =
1 + {15/4 - [1/4 : (4/4 + 3/4 )]} =
1 + {15/4 - [1/4 : 7/4)]} =
1 + {15/4 - {1/4 X 4/7)]} =
1 + {15/4 - 1/7}=
1 + {105/28 - 4/28} =
1 + {101/28} =
1 + 101/28 = 28/28 + 101/28 = 129/28
[1/4 + 1/8] : (4/4 - 1/4) =
[2/8 + 1/8 ] : (3/4 ) =
3/8 : 3/4 =
3/8 X 4/3 = 12/24 = 1/2
B)√(1 - 1/3) - 2/9 = √(3/3 - 1/3) - 2/9 = √2/3 - 2/9 = √√6/9 - 2/9 = √4/9 = 2/3
C) 1 + {15/4 - [(1/2)² : (1² + 3/4 )]} =
1 + {15/4 - [1/4 : (1 + 3/4)]] =
1 + {15/4 - [1/4 : (4/4 + 3/4 )]} =
1 + {15/4 - [1/4 : 7/4)]} =
1 + {15/4 - {1/4 X 4/7)]} =
1 + {15/4 - 1/7}=
1 + {105/28 - 4/28} =
1 + {101/28} =
1 + 101/28 = 28/28 + 101/28 = 129/28
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