0
1-13
8-23
27-33
64-43
125-53
216-63
343-73
512-83
729-93
1000- 103
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∙ 12y ago
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How do you find cube roots of imaginary numbers?
For a pure imaginary number: {i = sqrt(-1)} times a real coefficient {r}, you have i*r. The cube_root(i*r) = cube_root(i)*cube_root(r), so find the cube root of r in the normal way, then we just need to find the cube root of i. For any cubic function (which has a polynomial, in which the highest term is x3) will always have 3 roots. There are 3 values, which when cubed will equal the imaginary number i:-i will do it: (-i)3 = (-i)2 * (-i) = -1 * (-i) = iThe other two are complex: sqrt(3)/2 + i/2 and -sqrt(3)/2 + i/2If you cube either of the two complex binomials by multiplying out, you will end up with 0 + i as the answer in both cases.Note: the possible roots for any cubic are: 3 real roots, or 1 real root and 2 complex root, or 1 pure imaginary root, and 2 complex roots.For your original question, if you want to stay in the pure imaginary domain, then you can use: Cube_root(i*r) = -i * cube_root(r) to find an answer.
How many irrational numbers are there between 1 and 6?
There are an infinite number of irrational numbers between 1 and 6. There are all the square roots from 1 to 36 except for 1, 4, 9, 16, 25, and 36. There are all the cube roots between 1 and 216 except for 1, 8, 27, 64, 125, 216. You can calculate fourth roots, fifth roots and continue calculating roots all year long. You should only have your supercomputer calculate irrational roots. Otherwise, you will duplicate. When you have calculated all roots of all prime numbers that fall between one and six, and added in all physical constants, then you will know the answer.
Which one of the number does not belong in the following series 15 - 2 - 8 - 13 - 16?
Each one of them. 15: the only semi-prime in the list 2: the only even prime in the list 8: the only perfect cube in the list 13: the only odd prime in the list 16: the only perfect square in the list. Take your pick!
What is the cube number nearest to 350?
It is: 343
What is interesting about Hardy-Ramanujan number?
1729 is the smallest number that can be expressed in two ways as the sum of two cubes.[12cube+9cube] * * * * * ... two positive cubes. 12 cube + 1 cube and 10 cube + 9 cube.
What is prime with cube roots?
All numbers have cube roots (not necessarily integral cube roots) so every prime has cube roots.
Do negative numbers have cube roots cube roots?
Yes.
How many real cube roots does any positive number have?
there is no cube roots in negative
What is the significance of cube and cube roots?
you are my friend
What is the real cube roots of 0.064?
The cube root of 0.064 is 0.4
How do you find cube roots in maths?
Some calculators have a cube root function
What are the 3 cube roots of -1?
4
How are positive square roots different?
The answer depends on "different from WHAT?" Positive cube roots, or negative square roots?
Why would I need to use square roots and cube roots?
For school you will need to learn how to find square and cube roots in order to have the needed prerequisites to answer progressively harder and more complex problems.
What is radical expression?
an alg expression involving square roots, cube roots, etc
What is the cube root of 2?
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.
Is negative 6 and 6 the real cube roots of 216?
no, -6 is the cube root of -216.
