Question

1) Can we write 0 in the form of p/q?

a. Yes

b. No

c. Cannot be explained

d. None of the above

2.) The three rational numbers between 3 and 4 are:

a. 5/2,6/2,7/2

b. 13/4,14/4,15/4

c. 12/7,13/7,14/7

d.11/4,12/4,13/4

3.) In between any two numbers there are:

a. Only one rational number

b. Many rational numbers

c. Infinite rational numbers

d. No rational number

4.) Every rational number is:

a. Whole number

b. Natural number

c. Integer

d. Real number

5.) √9 is a __________ number.

a. Rational

b. Irrational

c. Neither rational or irrational

d. None of the above

6.) Which of the following is an irrational number?

a. √16

b. √(12/3)

c. √12

d. √100​

Answer 1

Answer:

1) no

2) idk

3)

Explanation:

Let us assume that 3+

5

is a rational number.

Now,

3+

5

=

b

a

[Here a and b are co-prime numbers]

5

=[(

b

a

)−3]

5

=[(

b

a−3b

)]

Here, [(

b

a−3b

)] is a rational number.

But we know that

5

is an irrational number.

So, [(

b

a−3b

)] is also a irrational number.

So, our assumption is wrong.

3+

5

is an irrational number.

Hence, proved.