The difference between a and b is always rational.
The product of a and b is always rational.
The square root of a and b is sometimes rational, sometimes irrational.
It is given that,
a and b are two rational numbers.
What is a rational number?
A number that can be written in the form p/q where q is non-zero is called a rational number, where p and q are integers.
(i) Difference of a and b
Difference between two rational numbers a and b is also a rational number.
let us take an example
Suppose a = 1/2
b = 1/5
a - b = 1/2 - 1/5 = 3/10 (also a rational number)
(ii) Product of a and b
Product of two rational numbers a and b is also a rational number.
Suppose a = 1/2
b=1/5
ab = 1/2 * 1/5 = 1/10 (also a rational number)
(iii) Square root of ab
The square root of ab can be sometimes rational, sometimes irrational.
let us take two example
1) suppose a = 1/9
b = 1/4
ab = 1/36
√ab = 1/6 (also a rational number)
2)suppose a = 1/5
b = 1/2
ab = 1/10
ab = 1/√10 ( an irrational number)
Therefore, The difference between a and b is always rational.
The product of a and b is always rational.
The square root of a and b is sometimes rational, sometimes irrational.
To get more about rational numbers visit:
https://brainly.com/question/12088221
