Question

give examples to show that:

✌the sum of 2 irrational numbers need not be irrational
✌the product of 2 irrational numbers need not be irrational
✌the square root of all positive integers are not necessarily irrational .



The one who answers first correctly will be marked as the BRAINLIEST ​

Answer 1

Solution: i-) The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."

ii-)The product of two irrational numbers is SOMETIMES irrational." The product of two irrational numbers, in some cases, will be irrational. However, it is possible that some irrational numbers may multiply to form a rational product.

iii-)No. Square roots of all positive integers are not irrational. Example 4, 9, 16, etc. are positive integers and their square roots are 2, 9 and 4 which are rational numbers.