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

Hi! 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