Question

Which of the following is irrational? √4/2, √12/√3, √5, √81 Please answer this.​

Answer 1

Answer:

root 5

Step-by-step explanation:

$\frac{ \sqrt{4} }{2} = \frac{2}{2} = 1 \\ \: \: \: it \: is \: \: a \: rational \: number.$

$\frac{ \sqrt{12} }{ \sqrt{3} } = \sqrt{ \frac{12}{3} } = \sqrt{4} = 2 \\ it \: is \: a \: rational \: number.$

$\sqrt{5} \: is \: an \: irrational \: number.$

$\sqrt{81} = 9 \: \\ it \: is \: a \: rational \: number.$

Therefore, root 5 is an irrational number.