Question 1

Given the expression

x = \frac{-3 + \sqrt{k}}{2}

, for which value of

k

does

x

represent a rational number?

Accepted Answer

Answer

Answer

Answer

Question 2

Which of the following numbers belongs to the set of Integers (

x = \frac{-3 + \sqrt{k}}{2}

) but not to the set of Natural numbers (

k

), assuming

x

?

Accepted Answer

Answer

Answer

Answer

Question 3

If

x = \frac{-3 + \sqrt{k}}{2}

is a non-zero rational number and

k

is an irrational number, which of the following statements must always be true regarding the operation

x

?

Accepted Answer

25

is always an irrational number.

Answer

25

is always an integer.

Answer

25

is always a rational number.

Answer

25

could be either rational or irrational depending on the value of

b

.

Question 4

Which of the following describes the categorization of the number

x = \frac{-3 + \sqrt{k}}{2}

?

Accepted Answer

Rational Number

Answer

Integer

Answer

Irrational Number

Answer

Imaginary Number

Question 5

Which of the following numbers belongs to the set of Rational numbers but is NOT an Integer?

Accepted Answer

Answer

Answer

Answer