Question

check whether (5+√3)^2 is a rational or an irrational number​

Answer 1

Answer:

irrational

Step-by-step explanation:

(5+√3)²=25+2*5*√3+(√3)²

=25+10√3+3

=28+10√3

Answer 2

Answer: By using the identity,

(a+b)^2 = a^2+b^2+2ab

(5+√3)^2 = (5)^2+(√3)^2+2×5×√3

= 25+3+10√3

= 28+10√3

As 10√3 is an irrational number. Therefore,(5+√3)^2 is also an Irrational Number.