Answer with explanation:
Rational Number: Those numbers which can be Represented in the form of [tex]\frac{p}{q}[/tex] where,p and q are any integer ,and q≠0.A rational number when represented in terms of decimals ,is either terminating or non terminating repeating.For example: 0.777....,0.58,0.23.
It is given that , A and B are rational numbers.
1. Difference of A and B is
a.Always Rational
2. Product of A and B is
a. Always Rational
3. [tex]\sqrt{AB}[/tex]
c. Sometimes Rational
For, example ,A=4,B=9
then ,[tex]\sqrt{4\times 9}=2 \times 3=6[/tex]→→Rational
And, If A=6, B=8
then ,[tex]\sqrt{6\times 8}=\\\\=\sqrt{48}\\\\=4\sqrt{3}[/tex]→→Irrational
