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Expressing as a radical.........?
How do you express the square root of three multiplied by fourth root of three as a single radical?
4 Answers
- DouglasLv 710 years ago
The square root of three is the same as 3^(1/2) and the fourth root of 3 is 3^(1/4).
3^(1/2){3^(1/4)} = 3^(3/4) = {3³}^(1/4) = 27^(1/4) = fourth root{27}
- ?Lv 510 years ago
â3 = 3^(1/2)
fourth root of 3 = 3^(1/4)
[3^(1/2) ] [3^(1/4)] = 3^(3/4)
fourth root of 3^3
fourth root of 27
- KristineLv 510 years ago
(sqrt3)(^4sqrt3)
[3^(1/2)] [3^(1/4)]
[3^(2/4)] [3^(1/4)]
3^(3/4)
= 4^sqrt 3^3 or fourth root of 27