Question

find the cube root by prime factorization

Answer 1

hey mate here is your answer..

19683 

/     \
3     6561

/       \
3      2187

/       \
3      729

/       \
3      243

/       \
3      81

/       \
3      27

/       \
3      9

/       \
3      3

/       \
3      1
So..19683=3×3×3=27

cube root =27

hope this helps you

plzz make me brainlist

Answer 2

Answer:

Cube in simple words means the volume of a cube.

And similarly, cube root can be thought as the side of a cube.

i.e. If a number is multiplied 3 times by itself, you'll get the cube of that number.

So, we'll find the factors of the given number i.e. we will find the factors of 19,683.

19,683=3×3×3×3×3×3×3×3×3

So, we will group the factors in group of 3.

The group will be this,

(3×3×3)(3×3×3)(3×3×3)

So, (3×3×3) means just 3.

So, (3×3×3)(3×3×3)(3×3×3) means 3×3×3=27.

So, the cube root of 19,683 is 27.