QQuestionMathematics
QuestionMathematics
Which of the following is not a real number?
| $\bigcirc$ | A. $\sqrt{2}$ |
| --- | --- |
| $\bigcirc$ | B. $\sqrt{1}$ |
| $\bigcirc$ | C. $\sqrt{6}$ |
| $\bigcirc$ | D. $\sqrt{2}$ |
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the definition of real numbers
- Real numbers include all rational and irrational numbers that can be represented on a number line - A number is real if it can be expressed as a point on the number line
Step 3:: Evaluate each square root option
D. $$\sqrt{-2}
- This is an irrational number - It cannot be expressed as a simple fraction - It exists on the number line - This IS a real number - This is a rational number - This IS a real number - This is an irrational number - It cannot be expressed as a simple fraction - It exists on the number line - This IS a real number - This involves the square root of a negative number - Negative numbers cannot have real square roots - This is an imaginary number - This is NOT a real number
Step 4:: Identify the option that is NOT a real number
Final Answer
D. \sqrt{- 2} is not a real number.
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