Question

cube root of 17576 by prime factorisation method ​

Answer 1

Answer:

26

Step-by-step explanation:

To find the cube root of the number we factorize the given number until we get a number which is raised to the power of 3. We express the number 17576 as a product of prime numbers. = 26 × 26 × 26. ... The cube root of 17567, i.e. 3√17576= 26.

Answer 2

Answer:

Your answer is:-

Step-by-step explanation:

Let us first find the cube root of 17576, i.e.

We express the number 17576 as a product of prime numbers.

We have, 17576 =2 × (8788)

=2 × 2 × (4394)

=2 × 2 × 2 × (2197)

=2 × 2 × 2 × 13 × (169)

=2 × 2 × 2 × 13 × 13 × 13

= (2 × 13) × (2 × 13) × (2 × 13)

= 26 × 26 × 26.

This shows that −17567 = (−26) × (−26) × (−26).

The cube root of – 17567, i.e. - = -26.

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