Which of the following statement is true?
A. Product of two irrational numbers is always irrational.
B. Product of a rational and an irrational number is always irrational.
C. Sum of two irrational numbers can never be irrational.
D. Sum of an integer and a rational number can never be an integer.
Answers
Answer:
Product of a rational and irrational number is always irrational
Step-by-step explanation:
For example:
2×√2=2√2
2√2 is an irrational number
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Product of a rational and an irrational number is always an irrational statement is true.
Option (B) Product of a rational and an irrational number is always irrational is correct.
Some useful results on irrational numbers :
- The SUM of a rational number and an irrational number is an irrational number.
- The difference of rational numbers and an irrational number is an irrational number.
- The sum, difference, product and quotient of two irrational numbers need not be an irrational number
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Similar questions :
Which one of the following statements is true?
A. The sum of two irrational numbers is always an irrational number.
B. The sum of two irrational numbers is always a rational number.
C. The sum of two irrational numbers may be a rational number or an irrational number.
D. The sum of two irrational numbers is always an integer.
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Which of the following is a correct statement?
A. Sum of two irrational numbers is always irrational.
B. Sum of a rational and irrational number is always an irrational number
C. Square of an irrational number is always a rational number
D. Sum of two rational numbers can never be an integer.
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