prove that (√2+2)2 is an irrational number give that √2 is an irrational numbe​

1 thought on “prove that (√2+2)2 is an irrational number give that √2 is an irrational numbe​”

1. Answer:

   2 root 2 is an irrational number.

   Step-by-step explain

   To find:- 2 root 2 is an irrational number.
   

   
   

   •Solution:- According to the question,
   

   
   

   2 root 2 = 2√2
   

   
   

   and 2√2 = √{(2)² × 2}
   

   
   

   or,2√2 = √8
   

   
   

   or,2√2 = 2.8284…
   

   
   

   So, square root of 8 is an irrational number
   

   
   

   because 8 is not a perfect square.

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