Can any two irrational numbers NOT of the form

prirodnogbk

prirodnogbk

Answered question

2022-07-06

Can any two irrational numbers NOT of the form ( m + A ) and ( n A ) be added to produce a rational number?

Answer & Explanation

Miguidi4y

Miguidi4y

Beginner2022-07-07Added 13 answers

Let a,b be irrational numbers such that
r = a + b  is rational. is rational.
Then b = r a, a = 0 + a, and 0 is rational.
Jaydan Aguirre

Jaydan Aguirre

Beginner2022-07-08Added 2 answers

Since sin ( x ) 2 + cos ( x ) 2 = 1 for all x R and the sin and cos functions are irrational most of the time. Therefore, two irrational numbers added together can yield a rational number.example: x = π 8

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