Give an example of two irrationals whose product is rational.
Let’s take (3 + 
) and (3 ‒ 
).
These are irrational numbers.
Their product = (3 + 
) × (3 ‒ 
) = 9 + 3√2 – 3√2 – (√2)2
= 9 – 4 = 5 {which is rational}
15
Give an example of two irrationals whose product is rational.
Let’s take (3 + ) and (3 ‒ ).
These are irrational numbers.
Their product = (3 + ) × (3 ‒ ) = 9 + 3√2 – 3√2 – (√2)2
= 9 – 4 = 5 {which is rational}