Find the cube root of 46656 through estimation. write full steps.

Dear Student,

Please find below the solution to the asked query:

To find value of 466563  by estimation method we follow these steps  :

We know :  303  = 27000

And

403 = 64000

So,

303  <  46656 < 403  Then 30 < 466563   < 40

And

323 = 32768   ,

383 = 54872

So,

323  <  46656 < 383  Then 32 < 466563   <  38

And

343 = 39304

And

363 = 46656

Here we can see that

363 = 46656  That is our number , So

466563  = 36                                                           ( Ans )


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  • -2
Hello Parth Sinha dear, as 6 in unit place the answer must have same 6 in unit place
If we have 2 in ten place then 8000
If we have 3 in ten place then 27000
If we have 4 in ten place then 64000
Our number lies in between 27000 and 64000
So the right answer is 36
  • 0
Their are 2 parts 46 and 656
656 ends with 6 and 6ends with 6
so ones place of the answer = 6
46 lies between 33(27) and 43(64)
so tens place of the answer = 3 (as we take the smaller no.)
Therefore cube root of 46656 = 36
  • 2
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