find cube root of 1000000 by prime factorization method.
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Answer:
The process of cubing is similar to squaring, only that the number is multiplied three times instead of two. The exponent used for cubes is 3, which is also denoted by the superscript³. Examples are 4³ = 4*4*4 = 64 or 8³ = 8*8*8 = 512.The cubic function is a one-to-one function. Why is this so? This is because cubing a negative number results in an answer different to that of cubing it's positive counterpart. This is because when three negative numbers are multiplied together, two of the negatives are cancelled but one remains, so the result is also negative. 7³ = 7*7*7 = 343 and (-7)³ = (-7)*(-7)*(-7) = -343. In the same way as a perfect square, a perfect cube or cube number is an integer that results from cubing another integer. 343 and -343 are examples of perfect cubes.Step by step simplification process to get cube roots radical form and derivative:First we will find all factors under the cube root: 1000000 has the cube factor of 1000000.Let's check this with ∛1000000*1=∛1000000. As you can see the radicals are not in their simplest form.Now extract and take out the cube root ∛1000000 * ∛1. Cube of ∛1000000=100 which results into 100∛1All radicals are now simplified. The radicand no longer has any cube factors