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Algebra II

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simplify (^4 square root of 64)
Would it be (^2 square root of 4) or (^2 sqyare root of 2)?

  • Algebra II -

    Your phrasing does not make sense but I am guessing that you meant the fourth root of 64 or 64^(1/4)

    64 = 8*8 = 4*2*4*2 = 4^3 = 2^6

    2^6 = 2^4*2^2
    so
    (2^6)^(1/4) = 2^(4/4)*2^(2/4)
    which is 2 sqrt 2
    or alternatively
    (2^6)^(1/4) =2^(6/4) = 2^(3/2)=sqrt(8) = 2 sqrt2

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