drishtisethia drishtisethia
  • 09-10-2018
  • Mathematics
contestada

How many whole numbers are there, whose squares and cubes have the same number of digits?

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remotecontrolbrain
remotecontrolbrain remotecontrolbrain
  • 09-10-2018

There are the following numbers for which that holds:

{-4, -2, -1, 0, 1, 2, 4}

See table below. For larger than 5 it can be proved that the number of digits will never be the same.

x   x^2  x^3

0 0 0

1 1 1

2  4  8

4  16  64


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navneetsubscriptions
navneetsubscriptions navneetsubscriptions
  • 05-12-2020

Answer:

the answer if 4 numbers

(sorry i dont have an explenation i litterally guessed it when I entered it in the RSM portal.)

Step-by-step explanation:

Answer Link

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