you need all even exponents for a perfect square.
5^3 7^3 3^4 * 5*7 = 5^4 7^4 3^4
if A=5^3*7^3*3^4, find the smallest number A must be multiplied to get a perfect square
3 answers
what is 7*5? Think about that. That is the smallest whole number.
But the smallest number you can multiply A and get a perfect square is
= 1/(5^3*7^3*3^2)
multiplying it then will leave you with A'=9, a perfect square. i am not certain your teacher was thinking of that, but if one asks a question, expect the answer.
But the smallest number you can multiply A and get a perfect square is
= 1/(5^3*7^3*3^2)
multiplying it then will leave you with A'=9, a perfect square. i am not certain your teacher was thinking of that, but if one asks a question, expect the answer.
well, technically, there is no smallest number. You could also multiply any perfect-square fraction with a larger denominator. That will give you an even smaller result. Not an integer, but a fraction as small as you like.
just sayin' ...
just sayin' ...