Question

5 Find the cube roots of the following perfect cubes using estimation.
a 592704
b 24389
c 438976
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Answer 1

Answer:

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Step-by-step explanation:

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

First we will find all factors under the cube root: 592704 has the cube factor of 7056.

Let's check this width ∛7056*1=∛592704. As you can see the radicals are not in their simplest form.

Now extract and take out the cube root ∛7056 * ∛1. Cube of ∛7056=84 which results into 84∛1

All radicals are now simplified. The radicand no longer has any cube factors.

he cubed root of five hundred and ninety-two thousand, seven hundred and four ∛592704 = 84

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Prime factorization of 592704:

2 x 2 x 2 x 2 x 2 x2 x 3 x 3 x 3 x 7 x 7 x 7

then,

2 x 2 x 3 x 7

=84