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Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
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 sqrt(3)/(2*sqrt(2-sqrt(3)))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3)) .
Question type: Mathematical calculation
Solution:
sqrt(3)/(2*sqrt(2-sqrt(3)))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/(2*sqrt(2-sqrt(3)))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/(2*sqrt(2-sqrt3))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/(2*sqrt0.267949)+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt(2-sqrt3)/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt0.267949/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt0.267949/(sqrt3/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt0.267949/1.866026+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt0.267949/1.866026+1/sqrt(2-sqrt3)
=sqrt3/1.035276+sqrt0.267949/1.866026+1/sqrt0.267949
=1.732051/1.035276+sqrt0.267949/1.866026+1/sqrt0.267949
=1.732051/1.035276+0.517638/1.866026+1/sqrt0.267949
=1.732051/1.035276+0.517638/1.866026+1/0.517638
=1.673033+0.517638/1.866026+1/0.517638
=1.673033+0.277401+1/0.517638
=1.673033+0.277401+1.931852
=1.950434+1.931852
=3.882286
Answer:sqrt(3)/(2*sqrt(2-sqrt(3)))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))=3.882286
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation sqrt(3)/(2*sqrt(2-sqrt(3)))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3)) .
Question type: Mathematical calculation
Solution:
sqrt(3)/(2*sqrt(2-sqrt(3)))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/(2*sqrt(2-sqrt(3)))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/(2*sqrt(2-sqrt3))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/(2*sqrt0.267949)+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt(2-sqrt3)/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt0.267949/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt0.267949/(sqrt3/2+1)+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt0.267949/1.866026+1/sqrt(2-sqrt(3))
=sqrt3/1.035276+sqrt0.267949/1.866026+1/sqrt(2-sqrt3)
=sqrt3/1.035276+sqrt0.267949/1.866026+1/sqrt0.267949
=1.732051/1.035276+sqrt0.267949/1.866026+1/sqrt0.267949
=1.732051/1.035276+0.517638/1.866026+1/sqrt0.267949
=1.732051/1.035276+0.517638/1.866026+1/0.517638
=1.673033+0.517638/1.866026+1/0.517638
=1.673033+0.277401+1/0.517638
=1.673033+0.277401+1.931852
=1.950434+1.931852
=3.882286
Answer:sqrt(3)/(2*sqrt(2-sqrt(3)))+sqrt(2-sqrt(3))/(sqrt(3)/2+1)+1/sqrt(2-sqrt(3))=3.882286