The product of a non-zero rational number and an irrational number is:
The number (2 + √3)(2 − √3) is:
Prove that √2 + √3 is an irrational number. What is the product of a rational number and an irrational number? Give an example to justify your answer.
Which of the following statement is true?
Assertion (A) : (a + √b) · (a − √b) is a rational number, where a and b are positive integers.
Give example of two irrational numbers whose (i) sum is a rational number. (ii) product is an irrational number.
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