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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(((6+sqrt(20))/2)*(sqrt(20)/2)*(sqrt(20)/2)*((6-sqrt(20))/2)) .
Question type: Mathematical calculation
Solution:
sqrt(((6+sqrt(20))/2)*(sqrt(20)/2)*(sqrt(20)/2)*((6-sqrt(20))/2))
=sqrt(((6+sqrt20)/2)*(sqrt(20)/2)*(sqrt(20)/2)*((6-sqrt(20))/2))
=sqrt((10.472136/2)*(sqrt(20)/2)*(sqrt(20)/2)*((6-sqrt(20))/2))
=sqrt(5.236068*(sqrt(20)/2)*(sqrt(20)/2)*((6-sqrt(20))/2))
=sqrt(5.236068*(sqrt20/2)*(sqrt(20)/2)*((6-sqrt(20))/2))
=sqrt(5.236068*2.236068*(sqrt(20)/2)*((6-sqrt(20))/2))
=sqrt(5.236068*2.236068*(sqrt20/2)*((6-sqrt(20))/2))
=sqrt(5.236068*2.236068*2.236068*((6-sqrt(20))/2))
=sqrt(5.236068*2.236068*2.236068*((6-sqrt20)/2))
=sqrt(5.236068*2.236068*2.236068*(1.527864/2))
=sqrt(5.236068*2.236068*2.236068*0.763932)
=sqrt19.999999
=4.472136
Answer:sqrt(((6+sqrt(20))/2)*(sqrt(20)/2)*(sqrt(20)/2)*((6-sqrt(20))/2))=4.472136