A time taking problem
Number Theory
Level
2
If , a = sqrt6 - sqrt3 b = sqrt3 - sqrt2 c = sqrt2 - sqrt6 , then find the value of a^3 + b^3 + c^3 - 2abc
[ Not a original question ]
3sqrt2 - 4sqrt3 + sqrt6
3sqrt2 + 4sqrt3 + sqrt6
3sqrt2 - 5sqrt3 - sqrt6
3sqrt2 -5sqrt3 - sqrt6
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1 solution
If in the expression a^3 + b^3 + c^3, a+ b+c=0 then a^3 + b^3 + c^3 = 3abc. Using this above we only have to solve a b c which is equal to 3sqrt2 - 4sqrt3 + sqrt6, and which is not time taking.😎