if √2= 1.414.... check weather 3+√2 is a rational or irrational give reasons
Answers
Answered by
4
Let 3+√2 be a rational number
And also , -3 is a rational .
As we all know that sum of two rationals is always a rational.
(3+√2)+(-3) should be a rational number.
But (3+√2)+(-3) =√2
√2 is an irrational .
This contradicts the fact that (3+√2) is an irrational.
Hope it helps.
Mark as Brailiest
And also , -3 is a rational .
As we all know that sum of two rationals is always a rational.
(3+√2)+(-3) should be a rational number.
But (3+√2)+(-3) =√2
√2 is an irrational .
This contradicts the fact that (3+√2) is an irrational.
Hope it helps.
Mark as Brailiest
Similar questions