Question

prove that (root 2 + root 5)^2 is irrational

Answer 1

Step-by-step explanation:

(√2+√5)^2

=(√2)^2+2√2√5+(√5)^2

=2+2√10+5

7+2√10

7+2√10 it is a irrational number

Answer 2

= 2 + 5 + 2*root 10

=7 + root 40

hence it is irrational