







A question about perfect squares 
20180204 

From Jolyn: Find the smallest possible value of a whole number m if 648x m is a perfect square Answered by Penny Nom. 





A quartic polynomial that is a perfect square 
20120205 

From archit: If P(x)=x^4+ax^3+bx^28x+1 is a perfect square then (a+b)=? Answered by Penny Nom. 





U(n+1) = 2Un + 1 
20110522 

From Cillian: In a certain sequence, to get from one term to the other you multiply by 2 and add 1, i.e. This is a difference equation of form: U(n+1) = 2Un + 1. prove that there is a maximum of 2 perfect squares in this sequence Answered by Claude Tardif. 





Two problems 
20100413 

From Dorothy: 1. Explain why the number 123, 456, 789, 101, 112 cannot be a perfect square. (Hint: What is the units digit?)
2. A substance doubles in volume every minute. At 9:00A.M., a small amount is placed in a container. At 10:00A.M., the container is just full. At what time was the container oneeighth full? Answered by Robert Dawson. 





A perfect square 
20100220 

From george: can this number 400....006 be a perfect square . how to solve problems like this. Answered by Chris Fisher and Tyler Wood. 





Is zero a perfect square? 
20080814 

From peter: is zero a perfect square? Answered by Penny Nom. 





What is the largest perfect square factor of 1512? 
20080702 

From peter: What is the largest perfect square factor of 1512? Answered by Penny Nom. 





For how many positive integers n is n^2 + 96 is a perfect square? 
20071218 

From Rajesh: For how many positive integers n is n^2 + 96 is a perfect square ? Answered by Penny Nom. 





A perfect square that is equal to 1 acre 
20050731 

From Shannon: If you have a perfect square that is equal to 1 acre, what is the length of the sides and how do you do it? Answered by Penny Nom. 

