131k views
5 votes
True/False: The negative square root of 17 is a rational number.

1 Answer

4 votes

Final answer:

The negative square root of 17 is not a rational number because it cannot be expressed as a quotient of two integers. Therefore, the statement is False.

Step-by-step explanation:

The question asks to determine the nature of the negative square root of 17. A rational number can be expressed as the quotient of two integers, where the denominator is not zero. The negative square root of any positive non-square integer, such as 17, is an irrational number. Since it cannot be expressed as a quotient of two integers, the negative square root of 17 is not a rational number. A rational number is a number that can be expressed as a fraction of two integers. The negative square root of 17, denoted as -sqrt(17), is an irrational number because it cannot be expressed as a fraction. It is a non-repeating, non-terminating decimal.

Therefore, the statement 'The negative square root of 17 is a rational number' is False.

User Vijay Choudhary
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories