Give an example each of two different irrational numbers, whose
(i) sum is an irrational number.
(ii) product is an irrational number.
Solution:
(i) Consider a = √2 and b = √3 as two irrational numbers
Here
a + b = √2 + √3 is also an irrational number.
(ii) Consider a = √2 and b = √3 as two irrational numbers
Here
ab = √2 √3 = √6 is also an irrational number.
More Solutions:
- Choose the correct statement:
- Between two rational numbers:
- The product of any two irrational numbers is:
- Which of the following is an irrational number?
- The following is an irrational number?
- A rational number between √2 and √3 is:
- The decimal expansion of the rational number:
- 2√3 + √3 is equal to:
- The number (2 – √3)2 is: