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Asked by Meghna deshnur

Aug 2, 2013

Give exmple of two irrational numbers whose sum is rational

Give exmple of two irrational numbers whose-

i) Sum is rational

ii) Product is rational

iii) Quotient is rational

Answers(4)

Answer

Agam Gupta

Member since Sep 21, 2013

1) (2 + √3) + (2 − √3) = 4
2) (2 + √3) × (2 − √3) = 22 − (√3)2= 4 − 3 = 1
3) �(√5/√5) = 1

Syeda

Member since Jan 25, 2017

Answer.

 (2 + √3) + (2 − √3) = 4
 (2 + √3) × (2 − √3) = 22 − (√3)2= 4 − 3 = 1
 (√5/√5) = 1

Ashok K Singh

Member since

Two irrational numbers whose
 (i) sum is rational are
10 + 2√5 and 5 - 2√5 
Checking:
Sum of these two irrational numbers = 
10 + 2√5 and 5 - 2√5 = 15 (a rational number)

(ii) 
 product is rational are
10 + 2√5 and 10 - 2√5 
Checking:
Product of these two irrational numbers
                    = (10 + 2√5) (10 - 2√5)
                    = (10)2 -  (2√5)2 
                    = 100 - 20 = 80 (a rational number)
(iii) 
 quotient is rational are
                 10√5 and 5√5 
Checking:
Quotient of these two irrational numbers = 
                 (10√5)/(5√5) = 2 (a rational number)

Kishore Kumar

Member since

1) (2 + √3) + (2 − √3) = 4
2) (2 + √3) × (2 − √3) = 22 − (√3)2= 4 − 3 = 1
3)  (√5/√5) = 1
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