SOLUTION: Dear concern plz help me on this question sqrt12+sqrt sqrt12+sqrt sqrt sqrt12. thanks.

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Question 973985: Dear concern plz help me on this question
sqrt12+sqrt sqrt12+sqrt sqrt sqrt12.
thanks.

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
12^(1/2)+12^(1/4)+12^(1/8) The square root of a square root is the fourth root.The square root of the fourth root is the eighth root. Fractional exponents are very helpful here. It is the square root of 12 +the fourth root of 12 + the eighth root of 12.
I could factor this, but it does not make it any easier. I cannot add the exponents, since this is addition of variables, not multiplication. I could take logs, but I don't have an equation.
I would solve it numerically, which is 3.464+1.861+1.364=6.689

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!
Dear concern plz help me on this question
sqrt12+sqrt sqrt12+sqrt sqrt sqrt12.
thanks.
sqrt%2812%29+%2B+sqrt%28sqrt%2812%29%29+%2B+sqrt%28sqrt%28sqrt%2812%29%29%29
12%5E%281%2F2%29+%2B+sqrt%2812%5E%281%2F2%29%29+%2B+sqrt%28sqrt%2812%5E%281%2F2%29%29%29


highlight%28highlight%2812%5E%281%2F2%29+%2B+12%5E%281%2F4%29+%2B+12%5E%281%2F8%29%29%29, or highlight%28highlight%28sqrt%2812%29+%2B+root%284%2C+12%29+%2B+root%288%2C+12%29%29%29
This looks a lot easier to enter into the calculator.
This gives: 3.464101615 + 1.861209718 + 1.364261602 = highlight_green%286.689572935%29