# Find the least divisor of 2744 which would make the quotient a perfect square.

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Expert Answers

sciencesolve | Certified Educator

You need to use the following relations between the numbers `x,y` , provided by the problem, such that:

`{(2744/x = y),(x^2 = y):} => {(2744/x = x^2),(x^2 = y):} =>2744 = x^3`

`x = root(3) 2744 => x = 14 => y = 14^2 => y = 196`

**Hence, evaluating the numbers x,y, under the given conditions, yields **`x = 14, y = 196.`