Math, asked by rashmipandey80, 8 months ago

how to find out cube root of fractions?​

Answers

Answered by cpkumar27
2

Answer:

To find the cube root of a given number, proceed as follows:

Step I. Express the given number as the product of primes.

Step II. Make groups in triplets of the same prime.

Step III. Find the product of primes, choosing one from each triplet.

Step IV. This product is the required cube root of the given number.

Note: If the group in triplets of the same prime factors cannot complete, then the exact cube root cannot be found.

Solved Examples of Cube Root using step by step with explanation

1. Evaluate the cube root: ∛216

Solution:

By prime factorization, we have

216 = 2 × 2 × 2 × 3 × 3 × 3

= (2 × 2 × 2) × (3 × 3 × 3)

Therefore, ∛216 = (2 × 3) = 6

2. Evaluate the cube root: ∛343

Solution:

By prime factorization, we have

343 = 7 × 7 × 7

= (7 × 7 × 7).

Therefore, ∛343 = 7

3. Evaluate the cube root: ∛2744

Solution:

By prime factorization, we have

2744 = 2 × 2 × 2 × 7 × 7 × 7

= (2 × 2 × 2) × (7 × 7 × 7).

Therefore, ∛2744 = (2 × 7) = 14

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