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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 1/(sqrt(3)-sqrt(2))+3/(sqrt(2)-sqrt(5))+2/(sqrt(5)+sqrt(3)) .
Question type: Mathematical calculation
Solution:
1/(sqrt(3)-sqrt(2))+3/(sqrt(2)-sqrt(5))+2/(sqrt(5)+sqrt(3))
=1/(sqrt3-sqrt(2))+3/(sqrt(2)-sqrt(5))+2/(sqrt(5)+sqrt(3))
=1/(sqrt3-sqrt2)+3/(sqrt(2)-sqrt(5))+2/(sqrt(5)+sqrt(3))
=1/0.317837+3/(sqrt(2)-sqrt(5))+2/(sqrt(5)+sqrt(3))
=1/0.317837+3/(sqrt2-sqrt(5))+2/(sqrt(5)+sqrt(3))
=1/0.317837+3/(sqrt2-sqrt5)+2/(sqrt(5)+sqrt(3))
=1/0.317837+3/(-0.821854)+2/(sqrt(5)+sqrt(3))
=1/0.317837+3/(-0.821854)+2/(sqrt5+sqrt(3))
=1/0.317837+3/(-0.821854)+2/(sqrt5+sqrt3)
=1/0.317837+3/(-0.821854)+2/3.968119
=3.146267+3/(-0.821854)+2/3.968119
=3.146267+(-3.650283)+2/3.968119
=3.146267+-3.650283+0.504017
=-0.504016+0.504017
=0.000001
Answer:1/(sqrt(3)-sqrt(2))+3/(sqrt(2)-sqrt(5))+2/(sqrt(5)+sqrt(3))=0.000001