Question

Evaluate :³√1728/729​

Answer 1

Answer:

4/3

Step-by-step explanation:

this is because 1728 is cube of 12 and 729 is the cube of 9

So, 12/9

= 4/3

Answer 2

Concept:

A cube root of a number x is a number y such that:

y³ = x.

Given:

We are given that:

∛ 1728 / 729​

Find:

We need to evaluate:

∛ 1728 / 729​

Solution:

Since we need to fins the cube root of the number, we will first factorize both the numbers:

1728 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 12³

729 = 3 × 3 × 3 × 3 × 3 × 3 = 9³

So, we get that:

∛ 1728 / 729​ = ∛ (12³ / 9³)

From this, we get:

= 12 / 9

= 4 / 3.

Therefore, after evaluating the expression ∛ 1728 / 729​ , we get 4 / 3.

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