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Give 2 examples of irrational numbers whose:-1) difference is a rational no.2) difference is an irrational no.3) sum is a rational no.4) product is a rational no.

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1) difference between 2 irrational numbers is a rational no.

a);;sqrt6-sqrt 6=0

b);;sqrt13-sqrt 13=0

2) difference between 2 irrational numbers is an irrational no.

a);;sqrt10-sqrt 5=sqrt5(sqrt2-1)

b);;sqrt87-sqrt 29=sqrt29(sqrt3-1)

3) sum of 2 irrational numbers is a rational no.

a);;sqrt11+(-sqrt 11)=0

b);;sqrt5+(-sqrt 5)=0

4) product of 2 irrational numbers is a rational no.

a);;sqrt11*sqrt 11=11

b);;sqrt6*sqrt 216=36

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Deependra Verma

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