Question

Find the cube root of the following numbers through estimation.
(i) 10648 (ii) 15625 (iii) 110592
(iv)
91125​

Answer 1

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

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Answer 2

Answer:

1. 10648= 22

2. 15625= 25

3. 110592= 48

4. 91125= 45