Which of the following is not an irrational number?

√64 = 8 And 8 is rational number. Hence, √64 is also a rational number.

Every integer is a ________.

The set of whole numbers doesn't include negative numbers so not every integer is a whole number. Similarly not every integer is a natural number. Every integer can be represented in the form p/q where q is non zero and p,q are integers, i.e., every integer is a rational number hence, any integer cannot be an irrational number. Hence, options 2, 3 and 4 are incorrect. The set of real numbers consist of integers, whole numbers, natural numbers, rational and irrational numbers. Hence every integer is also a real number. Hence, option 1 is correct.

Which of the following is not a rational number?

√49 = 7. 7 is rational number so √49 is also rational number. √25= 5 which is a rational number √100= 10 which is a rational number √27= 3√3. 3√3 is not a rational number. Hence option 2 is the correct answer.

Which of the following is an irrational number?

We can write 5/√5 as 5/√5= √5/1 Suppose √5/1 is in p/q form but for that both the p and q should be integers and q ≠ 0 But here √5 is not an integer. Hence, √5/1 is an irrational number.

We represent the collection of all _________ by Q'

Irrational numbers are represented by Q' whereas rational numbers are represented by Q. Real numbers are represented by R and Whole numbers are represented by W.

Every point on the number line represents a _________

Every point on number line represents a real number and real numbers consists of natural numbers, whole numbers, integers, rational numbers and irrational numbers.