Question

Find the cube root of 13824 using prime factorisation method

Answer 1

Step I : Obtain the given number.

Step II : Resolve it into prime factors.

Step III : Group the factors in 3 in such a way that each number of the group is same.

Step IV : Take one factor from each group.

Step V : Find the product of the factors obtained in step IV. This product is the required cube root.

2)

∛13824  

Solution :

After resolving the prime factors, we get  

13824 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3  

Grouping  

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Taking one factor from each group

∛13824 = 2 x 2 x 2 x 3  

∛13824 = 24

I Hope I Helped!!!

Answer 2

Answer;after resolving the prime factor we get 13824=2*2*2*2*2*2*2*2*2*3*3*3

grouping

=2*2*2*2*2*2*2*2*2*3*3*3

taking one factor from each group

13824=2*2*2*3

13824=24

###hope it helps###

Step-by-step explanation: