Question

Give an example of each, of two irrational numbers whose (i) Difference is a rational number. (ii) Sum is an irrational number. (iii) Quotient is an irrational number (iv) Product is a rational number​

Answer 1

Answer:  i ) √3 is an irrational number. Now, (√3) - (√3) = 0 0 is the rational number.

               ii) Let two irrational numbers are 4√6 and√6 Now, (4√6) + (√6) =  5√6 5√6 is the rational number.

              iii) Let two irrational numbers are√ 6 and √2  Now,√6/√2 = √3 + 2/√2  =√3 x √2/ √2 = √3 √3 is an irrational number

              iv) Let two irrational numbers are 2√3 and √3  Now, 2√3 x √3 = 2 x 3 = 6 6 is the rational number.

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