Question

find the cube root of the following number through estimation: 1) 10648, 2) 15625, 3) 110592, 4) 91125​

Answer 1

Answer:

Step-by-step explanation:

Given :  (i) 10648 (ii) 15625 (iii) 110592  (iv)  91125​

To find : cube root through estimation.

Solution:

10648

end with 8

hence unit digit of cube root should be 2

27000 > 10648   > 8000

=> 30000 > ∛10648  >  20

greater than 20  and less than 30 ending with digit 2

so ∛10648  = 22

15625

end with 5

hence unit digit of cube root should be 5

27000 > 15625  > 8000

=>   30 > ∛15625 >  20

greater than 20  and less than 30 ending with digit 5

∛15625  = 25

Similarly

∛110592  = 48

∛91125  = 45