The areas of two similar squares are proportional to the square of their corresponding sides
let the side of the smaller be x and the side of the larger be y
then x^2 : y^2= 1 : 2
2x^2 = y^2
y = (√2)(x)
suppose x is a whole number, then √2 times a whole number cannot be a whole number.
One square has twice the area of another square. Explain why it is impossible for both squares to have side lengths that are whole numbers.
1 answer
1 answer