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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
What are square roots of 64?
The square roots of 64 are +8 and -8.
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 is the fourth cube number?
The fourth positive cube number is 4x4x4 which equals the number 64.
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).
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.
