Question

Which numbers are real numbers? Select all correct answers.

−4–√
−3√
−34−√
−4−−−√

Answer 1

Among the provided options, only −4 is a real number as it can be represented on the number line. The square roots of negative numbers are not considered real because they are imaginary numbers.

Step-by-step explanation:

To determine which numbers are real numbers, we need to understand that the real numbers include all the rational and irrational numbers, which means any number that can be placed on a number line, including negative numbers, fractional numbers, and square roots of non-negative numbers.

Looking at the given options:

• −4 (Negative four) is a real number as it is a rational number and can be placed on a number line.
• −√-3 (√-3) is not a real number because the square root of a negative number is an imaginary number.
• √-34 (√-34) is also not a real number, for the same reason as above.
• −√-4 (√-4) is once again not a real number, as it represents an imaginary number.

Therefore, among the numbers listed, only −4 is a real number.