Math, asked by karan2parmar33, 5 months ago

True or false : The product of two irrational numbers is always irrational number is irrational.​

Answers

Answered by darshan8920
6

Answer:

This statement the product of two irrational numbers is an irrational number is FALSE. Because the product of two irrational numbers is not always an irrational number it is sometimes a rational number . √10 is an IRRATIONAL NUMBER.

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Answered by AadilPradhan
1

The product of two irrational numbers is always irrational number is irrational a false statement:

  • One would have to be acquainted with irrational numbers in order to solve this problem. Numbers that are irrational cannot be stated in this way P/Q Q is not equivalent to 0 in this case. Knowing this will help you fix your problem.
  • Depending on the two numbers, the product of two irrational numbers might be rational or irrational.
  • For specimen, \sqrt{3} x \sqrt{3}  is 3 and that's a rational number, in contrast to \sqrt{2} x \sqrt{4} is \sqrt{8} and this number is irrational. Therefore, \sqrt{2} ,\sqrt{3} ,\sqrt{4} are the number that is irrational.
  • As a result, the product of two irrational numbers might be either irrational or rational.
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