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Not calculus, but -64 has three cube roots, two of which are complex numbers. Note, sqrt(-1) = i.
4*e^(pi*i/3) is a root because [4*e^(pi*i/3)]^3 = 64*e^(pi*i) = 64*-1= -64
4*e^(-pi*i/3) is a root because [4*e^(-pi*i/3)]^3 = 64*e^(-pi*i) = 64*-1= -64
and of course
-4 = 4*e^(pi*i) is a root because (-4)^3 = -64.
To find these, set up the equation -64 = [A*e^(pi*i*B)]^3 and solve for A and B. If you don't like using complex exponentials, any complex number can also be written as a + b*i so you could solve -64 = (a + bi)^3. If you use the complex exponential form, you should get the three answers above. If you use the a + b*i form you should get the equivalent {2 +/- 3.464i, -4}. Remember either equations has three solutions because it is cubic.
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How do you do cube roots quickly?
Some calculators don't have cube roots, so you could use X to the power of 1/root. x^(1/root). The cube root of 64 equals 4 because 4*4*4 (or 4^3) gives 64. You can reverse these powers by reciprocating the exponent: 64^(1/3) = 4
Find the number that equals 64 when it is cubed?
The cube root of 64 is 4.4x4=1616x4=64
How do you find the cube of 64?
you find out what 64times64times64 is. did you mean waht cubed equals 4? that answer is 4(4x4x4=64)
What is cube root of 64?
cube root of 64 = 4 4 x 4 = 16, and 16 x 4 = 64 4 cube = 64
A cube has a volume of 64 cubic centimeters what are the cubes dimensions?
4 cubed = 64. So the cube is 4x4x4.Answer:We know that the volume of a cube = Side3 cubic centimeters.Given that the volume of the cube is 64 cubic centimeters.We need to find the dimensions of the cube.Side3 = 64Side3 = 43Side = 4 centimeters.Source: www.icoachmath.com
How do you do cube roots quickly?
Some calculators don't have cube roots, so you could use X to the power of 1/root. x^(1/root). The cube root of 64 equals 4 because 4*4*4 (or 4^3) gives 64. You can reverse these powers by reciprocating the exponent: 64^(1/3) = 4
What are the cube numbers between 50 and 70?
Every number between 50 and 70 is a cube. For example, 53 is the cube of the cube root of 53 = 3.7563 (approx).The perfect cube roots in the range is 64.
Find the number that equals 64 when it is cubed?
The cube root of 64 is 4.4x4=1616x4=64
How do you find the cube of 64?
you find out what 64times64times64 is. did you mean waht cubed equals 4? that answer is 4(4x4x4=64)
What is cube root of 64?
cube root of 64 = 4 4 x 4 = 16, and 16 x 4 = 64 4 cube = 64
Cube root of 64?
the cube root of 64 =4
A cube has a volume of 64 cubic centimeters what are the cubes dimensions?
4 cubed = 64. So the cube is 4x4x4.Answer:We know that the volume of a cube = Side3 cubic centimeters.Given that the volume of the cube is 64 cubic centimeters.We need to find the dimensions of the cube.Side3 = 64Side3 = 43Side = 4 centimeters.Source: www.icoachmath.com
Cube root of what equals 4?
The cube of a number occurs when three of that number have been multiplied together - This is also referred to as 'raising to the power of 3'. So. 4 x 4 x 4 = 64 is 4 cubed (or 43). The cube root of a number is the number whose cube equals the given number. So, the cube root of 64 is 4, (as 4 cubed equals 64).
What is the fourth cube number?
The fourth positive cube number is 4x4x4 which equals the number 64.
The volume of the cube is 64 cubic inches. Find its side?
The answer when finding volume is always a cubic measurement. The volume of a cube measuring 4 inches on all of its sides is 64 cubic inches.
What is twice the cube of 4?
The cube of 4 is 4 x 4 x 4 = 64 Twice of 64 is 64 + 64 = 128
What are square roots of 64?
The square roots of 64 are +8 and -8.
