Give irrational values for x and y so that the following expressions are rational. Enter exact numbers in the form (x,y). No decimals
a) x y^2
b) x/y
a) x y^2
b) x/y
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a) x = √2, y = ∜8, √2(∜8)² = 4
b) x = √8, y = √2, x/y = 2
b) x = √8, y = √2, x/y = 2
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There can be many solutions.
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a) Solution is √3, √(√3) ) gives xy² = 3 and
b) ( 2√3, √3 ), gives (x/y) = 2
b) ( 2√3, √3 ), gives (x/y) = 2