Identify the following as rational numbers. Give the decimal representation of rational numbers:

We have

√4 = 2 =2/1

√4 can be written in the form of p/q, so it is a rational number.

Its decimal representation is 2.0.

 We have, 

3√18 = 3√2 x 3 x 3 

= 3 x 3√2

= 9√2

 Since, the product of a rations and an irrational is an irrational number. 

9√2 is an irrational 

=> 3 √18 is an irrational number.

We have,

√1.44 = √144/100

=12/10

=1.2

Every terminating decimal is a rational number, so 1.2 is a rational number. Its decimal representation is 1.2. 

We have,

√9/27 = 3/√27 = 3/√3 x 3 x 3

=3/3√3

=1/√3

Quotient of a rational and an irrational number is irrational numbers so 1/√3  is an irrational number.

=>√9/27 is an irrational number.

We have,

-√64 = -√8 x 8

= -8

= -8/1

-√ 64 can be expressed in the form of p/q ,so -√64 is a rotational number.

 Its decimal representation is -8.0.

We have,

√100=10

=10/1

√100 can be expressed in the form of p/q, so √100 is a rational number. 

The decimal representation of √100 is 10.0.