Question

title="(5 + \sqrt{4}) (5 - \sqrt{4} )" alt="(5 + \sqrt{4}) (5 - \sqrt{4} )" align="absmiddle" class="latex-formula">
IT IS RATIONAL OR IRRATIONAL? EXPLAIN WHY?​

Answer 1

Answer:

Rational

Step-by-step explanation:

Simplifying;

$=(5+\sqrt{4} )(5-\sqrt{4} )\\\\=5(5-\sqrt{4} )+\sqrt{4} (5-\sqrt{4} )\\\\=25-5\sqrt{4}+ 5\sqrt{4}-4\\\\=25-4\\\\=21$

On simplifying the expression we get 21. And 21 is is a rational number because on converting into p/q form we get 21/1. Here both 21 and 1 are rational number. So given expression is rational.