Question

Find the cube root of 884736 by prime factorization method
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Answer 1

Answer:

Step by step simplification process to get cube roots radical form and derivative:

First we will find all factors under the cube root: 884736 has the cube factor of 884736.

Let's check this with ∛884736*1=∛884736. As you can see the radicals are not in their simplest form.

Now extract and take out the cube root ∛884736 * ∛1. Cube of ∛884736=96 which results into 96∛1

The cubed root of eight hundred and eighty-four thousand, seven hundred and thirty-six ∛884736 = 96

 

Answer 2

We are searching for a and b such that a3+b3=(2a2b2)/3

By rearranging the terms we can see that b3 is divisible by a2 and a3 is divisible by b2.

Thus a and b have some common factors.

Case 1:- a=b,

⟹a3+a3=(2a2a2)/3

⟹2a3=(2a4)/3

⟹3a3=a4

⟹a=0, or a=3