Algebra Help Radical notation

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My problem is:

4 sqrt 81
I know the answer is 3, but I do not know how they got it.

  • Algebra Help Radical notation -

    write that as 81^(.25) which is (81^.5)^.5

    that is
    sqrt ( sqrt 81 )
    81 is nine times nine
    so
    sqrt ( sqrt 81 ) = sqrt (9)
    but 9=3*3 so
    sqrt (9) = 3

  • Algebra Help Radical notation -

    Thank-you, I don't know why I did not think of that. I came up with every other number imaginable but that. I think I was trying toooooooooooooo hard!

  • Algebra Help Radical notation -

    5^1/7 in radical notation

  • Algebra Help Radical notation -

    (-64)^2/3

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