SOLUTION: Give an example of irrational numbers a and b such the indicated expression is (1) rational and (2) irrational. 1) a + b 2) a - b 3) (a)(b) 4. (a/b)

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Question 1197044: Give an example of irrational numbers a and b such the indicated expression is (1) rational and (2) irrational.
1) a + b
2) a - b
3) (a)(b)
4. (a/b)

Answer by ikleyn(52748)   (Show Source): You can put this solution on YOUR website!
.

(1)  a = ,  b = .   a and b are irrational, but a+b = 1 is rational.


     a = ,  b = .   a and b are irrational, and a+b =   is irrational.




(2)  a = ,  b = .   a and b are irrational, but a-b = 1 is rational.


     a = ,  b = .  a and b are irrational, and a-b =   is irrational.




(3)  a = ,  b = .    a and b are irrational, but a*b = 2 is rational.


     a = ,  b = .    a and b are irrational, and a*b =  is irrational.




(4)  a = ,  b = .   a and b are irrational, but a/b = 1 is rational.


     a = ,  b = .   a and b are irrational, and a/b =  is irrational.

Solved.



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