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Completely factorise the given number. Then group its factors into sets of 3. Take just one representative from each set and multiply these together. The answer is the required cube root.
For example,
1728 = 2*2*2*2*2*2*3*3*3 = (2*2*2)*(2*2*2)*(3*3*3)
So, the cuberoot is = 2 * 2 * 3 = 12
Perfect cubes have prime factors in multiples of 3.
3 x 3 x 3 = 27
2 x 2 x 2 x 5 x 5 x 5 = 1000
a3 + b3 = (a + b)*(a2 - ab + b2) which gives an initial factorisation as shown in the two brackets. Each of these may have further factors.
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What is sum of prime factors of two thousand and six?
78
What are two factors of 48 with a sum of 26?
24 and 16 are factors of 48
What two factors have a product of 40 and a sum of 13?
8 and 5
How do you factor the sum and difference of two cubes?
a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
Why is it important to determine correlation?
It is important to determine what the correlation is so that you can control it. If you can find out how two factors are related you can manipulate the situation.
What is the formula for the sum of two cubes?
The sum of two cubes can be factored as below.a3 + b3 = (a + b)(a2 - ab + b2)
Definition of sum of two cubes?
a3 + b3
Definition of Sum or difference of two cubes?
That means that you calculate the cubes of two numbers, and then either add or subtract them.
The sum of two numbers is k Find the minimum value of the sum of their cubes?
1
The sum of two positive numbers is 4 and the sum fo their cubes is 28 What is the sum of their squares?
The sum of their squares is 10.
What is the probability of getting a sum of 8 from two number cubes?
1
What is the probability of rolling a sum of 2 with two number cubes?
50%
How do you factor sum or difference of two cubes?
Sum and difference of two cubes is factored this way : a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
If you have a two six sided number cubes how many times can you get the sum of 11?
You get the sum of 11 two ways; 5,6 and 6,5.
Example of sum and different of two cubes?
23 = 8, 33 = 27. Sum 35, difference 19...
Sum of two cubes?
a3+ b3 = (a + b)(a2 - ab + b2)
Why is 1729 a special number for Ramanujan?
According to Ramanujan, it's the lowest number that can be expressed in two different ways as the sum of two cubes (the cubes of 12 and 1; the cubes of 10 and 9). It 's the answer.
