I'm trying to figure out what ³√x^2 is but first what is ³√x?
2007-07-19 05:39:04 · 8 answers · asked by sky l 1 in Science & Mathematics ➔ Mathematics
³√x is the cube root of x. For example, since 8 = 2³, ³√8 = 2.
To find ³√x^2, either first find the cube root of x and then square it OR find the square of x and then the cube root of this (x^2), whichever is easier.
Also ³√x = x^(1/3) and ³√x^2 = x^(2/3).
2007-07-19 05:47:47 · answer #1 · answered by maegical 4 · 0⤊ 0⤋
The little three before the radical is the index, and tells you what root is desired. In this case it means 3rd root or cube root. So you need to find the cube root of x squared here. So square x and take the cube root of the result. If x is 8 then you would take the cube root of 8^2 , which is the cube root of 64, which is 4. Very few values for x will result in rational answers: a few that will are 0, -1, 1, 8,-8, 27, and -27.
2007-07-19 05:50:41 · answer #2 · answered by Don E Knows 6 · 0⤊ 0⤋
the first one is x^(2/3) and the other one is x^(1/3)
x^(2/3) means you square the number x and get the cube root of the result . x^(1/3) simply means the cube root of x
2007-07-23 05:18:19 · answer #3 · answered by Anonymous · 0⤊ 0⤋
x^(1/3)
³√x^2=x^(2/3)
2007-07-19 05:41:54 · answer #4 · answered by iyiogrenci 6 · 0⤊ 0⤋
cube root of x is the same as x^1/3 (x to the one-third power). cube root of x^2 is the same as x^2/3
2007-07-19 05:43:30 · answer #5 · answered by Tim M 3 · 0⤊ 0⤋
Its cube-root of x^2
2007-07-19 05:54:07 · answer #6 · answered by punit g 2 · 0⤊ 0⤋
x^(2/3)
The number you are squaring by is the denomerator of what you are raising x to. 2 is the numerator.
2007-07-19 05:44:51 · answer #7 · answered by dnbozo 1 · 0⤊ 0⤋
³√(x^2)=x^(2/3)
=Antilog[(2/3)log x]
2007-07-19 05:48:40 · answer #8 · answered by davidcjo5 4 · 0⤊ 0⤋