

InterviewSolution
1. |
Give an example of each, of two irrational numbers whose:(i) difference is a rational number.(ii) difference is an irrational number. (iii) sum is a rational number.(iv) sum is an irrational number.(v) product is a rational number.(vi) product is an irrational number.(vii) quotient is a rational number. (viii) quotient is an irrational number. |
Answer» (i) √3 is an irrational number. Now, (√3) - (√3) = 0 0 is the rational number. (ii) Let two irrational numbers are 5√2 and√2 Now, (5√2) - (√2) = 4√2 4√2 is the rational number. (iii) Let two irrational numbers are√11 and -√11 Now, (√11) + (-√11) = 0 0 is the rational number. (iv) Let two irrational numbers are 4√6 and√6 Now, (4√6) + (√6) = 5√6 5√6 is the rational number. (v) Let two irrational numbers are 2√3 and √3 Now, 2√3 x √3 = 2 x 3 = 6 6 is the rational number. (vi) Let two irrational numbers are √2 and √5 Now, √2 x √5 = √10 √10 is the rational number. (vii) Let two irrational numbers are 3√6 and √6 Now, 3√6 /√6 = 3 3 is the rational number. (viii) Let two irrational numbers are√ 6 and √2 Now,√6/√2 = √3 + 2/√2 =√3 x √2/ √2 = √3 √3 is an irrational number |
|