Question

Pls help with this and quick I NEED HELP ASAP

Answer 1

Answer:

$D. Real,\ Irrational$

Step-by-step explanation:

$7\pi \\As\ we\ know\ that\ 7\pi \ is\ can\ be\ factorized\ into\ 7*\pi .\\As\ we\ know\ that\ \pi \ is\ a\ transcendental,\ and\ is\ non-terminating\ non-recurring,\ it\ is\ an\ irrational\ number.\\7\ is\ a\ rational\ number\ as\ it\ is\ terminating\ and\ can\ be\ represented\\ as\ \frac{7}{1} .i.e\ in\ a\ ratio.\\Now,\\As\ The\ product\ of\ a\ rational\ number\ and\ an\ irrational\ number\ is\ irrational.\\The\ product\ of\ 7\ and\ \pi \ which\ is\ 7\pi \ is\ also\ irrational.\\Hence,$$7\pi\ is\ irrational.\\As\ we\ know\ that\ all\ rationals\ and\ irrationals\ fall\ under\ the\ category\\ of\ Real\ numbers. All\ irrationals\ are\ real\ numbers\ too.\\Hence,\\7\pi \ which\ is\ an\ irrational [As\ Proven]\ is\ also\ a\ real\ number.\\Hence,\\7\pi \ is\ real\ and\ irrational.$