1) √(7²) + 12(7)(2/5) + 36*(2/5)² = √49 + 84/5 + 144/25 = 7 + 84/5 + 144/25 = 7 + 16.8 + 5.76 = 29.56
2) √(3 2/3)² + 8(3 2/3)(1/3) + 16(1/3)² = √(11/3) + 8(11/3)(1/3) + 16(1/9) = √11/3 + 88/9 + 16/9 = 1/√33 + 104/9 = 1/√33 + 11.56
3) √9(4/5)² + 6(4/5)(7 3/5) + (7 3/5)² = √9(16/25) + 6(4/5)(37/5) + (37/5)² = √144/25 + 6*148/25 + 1369/25 = 12/5 + 888/25 + 1369/25 = 12/5 + 35.52 + 54.76 = 102.28
4) √25(4/9)² + 10(4/9)(3 7/9) + (3 7/9)² = √625/81 + 10(4/9)*(40/9) + (40/9)² = 25/9 + 160/9 + 1600/81 = 25/9 + 160/9 + 19.75 = 205.75/9 = 22.86(repeating decimal)
5) √36(4/5)² + 12(4/5)(8 1/5) + (8 1/5)² = √1296/25 + 12(4/5)*(41/5) + (41/5)² = 36/5 + 192/5 + 1681/25 = 36/5 + 192/5 + 67.24 = 228/5 + 67.24 = 295.24/5 = 59.05
1) √(7²) + 12(7)(2/5) + 36*(2/5)² = √49 + 84/5 + 144/25 = 7 + 84/5 + 144/25 = 7 + 16.8 + 5.76 = 29.56
2) √(3 2/3)² + 8(3 2/3)(1/3) + 16(1/3)² = √(11/3) + 8(11/3)(1/3) + 16(1/9) = √11/3 + 88/9 + 16/9 = 1/√33 + 104/9 = 1/√33 + 11.56
3) √9(4/5)² + 6(4/5)(7 3/5) + (7 3/5)² = √9(16/25) + 6(4/5)(37/5) + (37/5)² = √144/25 + 6*148/25 + 1369/25 = 12/5 + 888/25 + 1369/25 = 12/5 + 35.52 + 54.76 = 102.28
4) √25(4/9)² + 10(4/9)(3 7/9) + (3 7/9)² = √625/81 + 10(4/9)*(40/9) + (40/9)² = 25/9 + 160/9 + 1600/81 = 25/9 + 160/9 + 19.75 = 205.75/9 = 22.86(repeating decimal)
5) √36(4/5)² + 12(4/5)(8 1/5) + (8 1/5)² = √1296/25 + 12(4/5)*(41/5) + (41/5)² = 36/5 + 192/5 + 1681/25 = 36/5 + 192/5 + 67.24 = 228/5 + 67.24 = 295.24/5 = 59.05