(5 + √(4)) (5 - √(4) ) IT IS RATIONAL OR IRRATIONAL? EXPLAIN WHY?​

Question

`(5 + √(4)) (5 - √(4) )`
IT IS RATIONAL OR IRRATIONAL? EXPLAIN WHY?​

Answer 1

Rational

Explanation:

Simplifying;

`=(5+√(4) )(5-√(4) )\\\\=5(5-√(4) )+√(4) (5-√(4) )\\\\=25-5√(4)+ 5√(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.