Find the cube root of 32768 without prime factorization
Answers
Answer:32
Step-by-step explanation:
Prime factors of 32768,
32768 = 2*2*2*2*2*2*2*2*2*2*2*2*2*2*2
As it is a cube root.....divide the no. Of 2s by 3......the ans is 5.....write 5 times 2..multiply it...
2*2*2*2*2
=32
Given : 32,768
To Find : without factorisation estimate the cube root of 32,768
Solution:
3³ = 27
4³ = 64
30³ = 27000
40³ = 64000
27000 < 32768 < 64000
Taking cube root
30 < ∛ 32768 < 40
Hence cube root lies between 30 and 40
Now Unit Digit and Unit digit of cube
0 0
1 1
2 8
3 7
4 4
5 5
6 6
7 3
8 2
9 9
32768 has unit digit 8
Hence ∛ 32768 should have unit digit 2
So ∛ 32768 = 32
Learn More:
6. Estimate the cube root of the following correct up to two decimal ...
brainly.in/question/12223635
10. Estimate the square root and cube root of the following upto one ...
brainly.in/question/18054075