Question

Which of the following sets does the value square root of 2 - the square root of 2 belong to? (Select all that apply)

a) Rational numbers
b) Irrational numbers
c) Real numbers
d) Complex numbers

Answer 1

The value √2 - √2 does not belong to the set of rational numbers and belongs to the set of irrational, real, and complex numbers. Hence the correct answer is option B , C and D

Step-by-step explanation:

The value √2 - √2 does not belong to the set of rational numbers because it cannot be expressed as a ratio of two integers. It belongs to the set of irrational numbers because it cannot be expressed as a terminating or repeating decimal. It also belongs to the set of real numbers because it can be plotted on a number line, and it belongs to the set of complex numbers because it has both a real and an imaginary part.

Hence the correct answer is option B , C and D