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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 (250×√((98.07÷3)^2+1)×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1)) .
Question type: Mathematical calculation
Solution:
(250×√((98.07÷3)^2+1)×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
=(250×√(32.69^2+1)×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
=(250×√1069.6361×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
=(250×√1069.6361×√(9.243167^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
=(250×√1069.6361×√86.436136)÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
=76016.125269÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
=76016.125269÷(98.07×√97.177249×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
=76016.125269÷(98.07×√97.177249×√1.961772×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
=76016.125269÷(98.07×√97.177249×√1.961772×√(261.52^2+1)×√((98.07÷84.85)^2+1))
=76016.125269÷(98.07×√97.177249×√1.961772×√68393.7104×√((98.07÷84.85)^2+1))
=76016.125269÷(98.07×√97.177249×√1.961772×√68393.7104×√(1.155804^2+1))
=76016.125269÷(98.07×√97.177249×√1.961772×√68393.7104×√2.335883)
=76016.125269÷541223.404816
=0.140452
Answer:(250×√((98.07÷3)^2+1)×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))=0.140452