Answer:
The answer is option B : 0.44
Step-by-step explanation:
When you add fractions, the answer is always rational.
A rational number is in the form of [tex]\frac{p}{q}[/tex], where [tex]q\neq 0[/tex] .
We also know ,
Rational number + irrational number = irrational number
Now [tex]\sqrt{6}[/tex] is an irrational number and when we will add it to [tex]\frac{1}{4}[/tex] , it will produce irrational number.
Similarly, [tex]\pi[/tex] and 1.4142135.. will also produce irrational numbers.
So, we have been left with 0.44, which is the answer.
0.44 can be written as [tex]\frac{44}{100}[/tex] or [tex]\frac{22}{50}[/tex] or [tex]\frac{11}{25}[/tex]
When we add [tex]\frac{1}{4}[/tex] to any of the fraction, it will always produce a fraction or rational number.
[tex]\frac{1}{4}+\frac{11}{25}[/tex] = [tex]\frac{25+44}{100} =\frac{69}{100}[/tex] which is a rational number.
