Question

question 5 of 10
which of the following is not a real number?
a. √1
b. √(-2)
c. √0
d. √2

Explanation:

Step1: Analyze Option A

The square root of 1, $\sqrt{1}$, is equal to 1, which is a real number.

Step2: Analyze Option B

The square root of a negative number, $\sqrt{-2}$, is not a real number because in the set of real numbers, we cannot take the square root of a negative number (this leads to imaginary numbers, specifically $i\sqrt{2}$ where $i$ is the imaginary unit).

Step3: Analyze Option C

The square root of 0, $\sqrt{0}$, is equal to 0, which is a real number.

Step4: Analyze Option D

The square root of 2, $\sqrt{2}$, is an irrational number but still a real number.

Answer:

B. $\sqrt{-2}$