Question

find the cube root of the following numbers by prime factorization method 0.000013824
please help me guys!​

Answer 1

Step-by-step explanation:

2|13824−−−−−2|6912−−−−2|3456−−−−2|1728−−−−2|864−−−−2|432−−−−2|216−−−−2|108−−−−2|54−−−3|27−−−3|9−−3

2|13824_2|6912_2|3456_2|1728_2|864_2|432_2|216_2|108_2|54_3|27_3|9_3

Hence we can write (13824)=2×2×2×2×2×2×2×2×2×3×3×3

(13824)=2×2×2×2×2×2×2×2×2×3×3×3

Now make triplet group of the factors of 13824:

(13824)=2×2×2−−−−−−−×2×2×2−−−−−−−×2×2×2−−−−−−−×3×3×3−−−−−−−

(13824)=2×2×2_×2×2×2_×2×2×2_×3×3×3_

(13824)−−−−−−√3=2×2×2×3=24

(13824)3=2×2×2×3=24

Hence the cube root of 13824 is 24.

To check weather 24 is the cube root of 13824 or not we will find the cube of the number,

(24)3=24×24×24=13824

(24)3=24×24×24=13824

Hence we can say 24 is the cube root of 13824

Answer 2

Answer:

24 is the cube root of 13824