If Joelle multiplied $792$ by a positive integer and came up with a perfect square as her answer, then what is the smallest integer she could have multiplied $792$ by?
Answers
Answered by
7
792 = 2*2*2*3*3*11
to make an integer a perfect square, each factor must be repeated twice so that when the square root is taken, the factors remain
=2*2 * 2*2 * 3*3 * 11*11
therefore 792 must be multiplied by 2*11 = 22
to make an integer a perfect square, each factor must be repeated twice so that when the square root is taken, the factors remain
=2*2 * 2*2 * 3*3 * 11*11
therefore 792 must be multiplied by 2*11 = 22
Similar questions