The larger of two integers is 8 times the smaller. Explain why they can’t both be perfect squares.
x and 8x if x is a perfect square then
sqrt (x) = integer then sqrt (8x) = integer * sqrt 8 you are stuck with sqrt 8 as a factor.....not an integer
x and 8x if x is a perfect square then
sqrt (x) = integer then sqrt (8x) = integer * sqrt 8 you are stuck with sqrt 8 as a factor.....not an integer