Question

Which of the following statement is true?

(a) The square of an irrational number is always rational.

(b) There are infinitely many integers between any two integers.

(c) Number of rational numbers between 15 and 18 is finite.

(d)There are numbers which cannot be written in the from p

q , q≠0 and p,q both are integers​

Answer 1

Answer:

Option (a)

Step-by-step explanation:

Answer 2

Answer:

Statement a

Step-by-step explanation:

Solutions :-

a) True

The square of any irrational number is always a rational number.

Consider an irrational √2

Square of √2 = (√2)²= 2 is a rational number.

Square of an irrational number √s

=> (√s)²

= s is a rational number.

b) False

There are finite integers between any two integers

Ex:-

The integers between 3 and -1 are 2,1,0,

They are finite .

c) False

There are infinitely number of rational numbers between any two rational numbers this property is called Densitive Property.

d) False

The numbers are in the form of p/q where p and q are integers and q≠0 called Rational numbers

Other than rational numbers are called Irrational numbers. They can not be written as p/q