Simplify the following expressions
$(3+\sqrt{5})(4-\sqrt{11})$
State whether the following statements are true or false
Every whole number is a rational number.
Represent $5 . \overline{49}$ on the number line, using successive magnification, up to $4$ decimal places.
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$0 . \overline{3}=\ldots \ldots . .$
Let $x$ and $y$ be rational and irrational numbers, respectively. Is $x+y$ necessarily an irrational number? Give an example in support of your answer.