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One cubic root is -2. The other two are complex numbers - all have the same absolute value, and they are at an angle of 120 from one another. Since -2 = 2 at an angle of 180°, the other two cube roots are 2 at an angle of 60°, and 2 at an angle of -60°. Use your calculator's polar-to-rectangular conversion to separate this into the real and imaginary components, if you want to present the answer that way.
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How do you find the cube root of a negative number?
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">
What is the side length of a cube with a volume of 512 cm cubed?
8 cm, just find the cube root of 512
Cube root of -512?
The cube root of -512 is: -8
How do you find the cube root of -8?
Don't know how you find it but I guess the answer is -2. -2 x -2 =4 4 X -2 = -8
How do you calculate the area of the base of a cube?
The base of a cube is a square, so the area of the base of the cube is the area of that square. The area of a square is s2, where s is the length of on side. Side all edges of a cube have the same length, it doesn't matter which edge you use. Example: Find the area of the base of a cube with edges of length 7: A = 72 = 49 Example: Find the area of the base of a cube with volume 8 cubic meters. The volume of a cube is equal to s3, where s is the length of a side. 23=8, so 2 is the length of a side, and the area of the base is 22 = 4.
