Question

(5+root3)^² is a rational number or irrational number?​

Answer 1

Answer:

IRRATIONAL

Step-by-step explanation:

$( {5 + \sqrt{3} )}^{2} \\ = {5}^{2} + { \sqrt{3} }^{2} + 2 \times 5 \times \sqrt{3} \\ = 25 + 3 + 10 \sqrt{3} \\ = 28 + 10 \sqrt{3} \\ which \: is \: an \: irrational \: number$