Solve this:
Q.Find the cube root of  4741632 by estimation.

Dear Student,

Please find below the solution to the asked query:

We find value of $\sqrt[3 ]{4741632}$ by estimation method , As :

We know :  200³ = 8000000    and 150³ = 3375000 , So

150³ < 4741632   < 200³ , or  150 < $\sqrt[3 ]{4741632}$  <  200

And

160³ = 4096000   and 170³ = 4913000 , So

160³ < 4741632   < 170³ , or  160 < $\sqrt[3 ]{4741632}$  <  170

And

165³ = 4492125   and 169³ = 4826809 , So

165³ < 4741632   < 169³ , or  165 < $\sqrt[3 ]{4741632}$  <  169

And

168³ = 4741632   , So 

$\sqrt[3 ]{4741632}$ =  168                                                             ( Ans )


Hope this information will clear your doubts about topic.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards