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

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

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  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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