How do we show that 444......4 is not a perfect square?
Asked By ashley On 03/26/2017 11:59
It depends on the problem. Are you talking about the number 444 or a large digit of 4's?
The number 444 is not a perfect square, because there are not 2 of the same numbers that will equal to that number.
The only other solution to finding a perfect square is by entering in the number on a calculator and then enter the square root symbol on the calculator.
Anytime the answer results in decimal form, the number that you squared is NOT a perfect square
Example: 444 -------> answer would be 21.071307505705477696802809323799
Thus, 444 is not a perfect square root number.
Answered On 03/27/2017 05:53
A perfect square is a number whose square root is an EXACT WHOLE NUMBER with NO decimals.
Using a calculator to easily calculate the square roots of 444 and other numbers consisting of 4s only, we get the following:
The square root of:
444 = 21.07130751
4444 = 66.66333325
44444 = 210.8174566
444444 = 666.6663333
and so on.
Clearly, none of these numbers is a perfect square.
Answered On 04/14/2017 07:21