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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

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  • Mike G
    Lv 7
    10 years ago
    Favorite Answer

    3^(1/2) * 3^(1/4) = 3^(3/4)

  • 10 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 5
    10 years ago

    √3 = 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

  • 10 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

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