The setAconsists of nine positive integers, none of which has a prime divisor larger thansix. Prove thatAis guaranteed to contain two distinct elements whose product is the squareof an integer. Hint:Any positive integer that does not have a prime divisor larger than 6 can be writtenas 2x13x25x3for integersx1, x2, x3

The volume, v, of a rectangular prism is determined using the formula, where / is the length, w is the width, and his theheight of the prism. carltren solves for w and writes the equivalent equation w=using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches,and a length of 3.2 inches?