-54 is not a perfect cube; thus, the answer contains cube roots. Because this site doesn't allow us to insert images in answers, we'll let C(x) represent "the cube root of X" such that C(8) = 2, etc. The answer, then, is 3 * C(-2).
54 = 2 x 27 = 2 x 33
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2 cube root 24 plus 3 cube root 81 is 18.7492444
The cube root of 8 is 2, and the cube root of 343 is 7. Therefore, the cube root of 8 over 343 is 2 over 7.
The cube root of 54 isn't an integer. 2 x 2 = 4, the cube root of 64.
It is: -2
-54 is not a perfect cube; thus, the answer contains cube roots. Because this site doesn't allow us to insert images in answers, we'll let C(x) represent "the cube root of X" such that C(8) = 2, etc. The answer, then, is 3 * C(-2).
54 = 2 x 27 = 2 x 33
If the negative number is "-a", then you can say the cube root is "-(cube root of a)" Because if you cube a negative number, you get a negative number. So if you cube root a negative number, you get a negative number. Ex) cube root of -8 = -2 Because (-2)^3 = -8 But if you want to find the complex cube roots, you can make an equation: "x^3=-a" or "x^3+a=0" We know one of the roots is "-(cube root of a)" so you can factor the equation by (x+(cube root of a)) And then you use the quadratic formula for the quadratic equation you're left with. Ex) x^3=-8 or x^3+8=0 Since -2 is a root, factor it by (x+2) x^3+8=(x+2)(x^2-2x+4) Using the quadratic formula, you get "1+i√3" and "1-i√3" Therefore the three cube roots of -8 is <"-2", "1+i√3", "1-i√3">
There are 3 cube roots and these are:the real root -1.2599and the complex roots 0.6300 - 1.0911i and its conjugate, 0.6300 + 1.0911i.
It is -1.2599, approx.
minus the cube root of 2, or about -1.26
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4
2 cube root 24 plus 3 cube root 81 is 18.7492444
The cube root of 2 is 1.2599210498948732 (rounded).The cube root of 3 is 1.4422495703074083 (rounded).