Question

without factorisation estimate the cube root of 32,768 give reason for your answer.​

Answer 1

Answer:

it's answer is 32

Step-by-step explanation:

32768. This number is between 27000 (30^3) and 64000 (40^3). The first digit is 8, which is the cube value of 2. The answer is 32.

Answer 2

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