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It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 0.25*(((1-0.14645^(1/3))*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1) .
Question type: Mathematical calculation
Solution:
0.25*(((1-0.14645^(1/3))*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(((1-0.14645^0.333333)*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*(0.14645^0.666667+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*(0.14645^0.666667+0.14645^0.333333+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*1.804943^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*1.804943^0.5+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*1.804943^0.5+0.14645^0.333333+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*5.214068)^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(2.465707^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(2.465707^0.5+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(2.465707^0.5+(0.14645^0.666667+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(2.465707^0.5+(0.14645^0.666667+0.14645^0.333333+1)^(1/2)+1)
=0.25*(2.465707^0.5+1.804943^(1/2)+1)
=0.25*(2.465707^0.5+1.804943^0.5+1)
=0.25*3.913739
=0.978435
Answer:0.25*(((1-0.14645^(1/3))*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)=0.978435
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 0.25*(((1-0.14645^(1/3))*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1) .
Question type: Mathematical calculation
Solution:
0.25*(((1-0.14645^(1/3))*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(((1-0.14645^0.333333)*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*(0.14645^0.666667+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*(0.14645^0.666667+0.14645^0.333333+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*1.804943^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*1.804943^0.5+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*(2*1.804943^0.5+0.14645^0.333333+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*((0.472895*5.214068)^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(2.465707^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(2.465707^0.5+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(2.465707^0.5+(0.14645^0.666667+0.14645^(1/3)+1)^(1/2)+1)
=0.25*(2.465707^0.5+(0.14645^0.666667+0.14645^0.333333+1)^(1/2)+1)
=0.25*(2.465707^0.5+1.804943^(1/2)+1)
=0.25*(2.465707^0.5+1.804943^0.5+1)
=0.25*3.913739
=0.978435
Answer:0.25*(((1-0.14645^(1/3))*(2*(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+0.14645^(1/3)+2))^(1/2)+(0.14645^(2/3)+0.14645^(1/3)+1)^(1/2)+1)=0.978435