Math, asked by ojasnimje6331, 1 year ago

why is 1953125 not a square number

Answers

Answered by divya2388
8
A perfect square is a number that can be expressed as the product of two equal integers.Try these steps first:

A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.
Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.
All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9
Answered by Garima2305
15
HERE IS YOUR ANSWER....



Since the question is why 1953125 is not a square number, you don’t need a test for perfect squares, you only need something that shows this particular number is not a perfect square.
One starting test for showing a number will NOT be a perfect square is to use “casting out 9’s”. Remove any digits that are 9 or that add up to 9.
Thus: 1953125 becomes 153125 (removing 9) which then becomes 125 since 1+5+3=9. [OR: 53, since 1+1+2+5 = 9] [OR: 35]
(Note that you can repeat the whole process until you have cast out all 9s.)
Examine the number that is left. If it is not a perfect square, then the original number cannot be a perfect square.
125 is not a perfect square [nor is 53 or 35], so 1953125 cannot be a perfect square.


HOPE IT HELPS!!!!!
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