show that (2+√5)^2is irrational
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Step-by-step explanation:
Step 1. (a+b)^2=a^2+b^2+2ab......
Step.2 4+5+2x2x√5......
Step.3. 9+4√5........
Note:- 9 is a perfect square of 3.....and it's a rational number....
Note:- √5 is not a perfect square and it's a irrational number.....
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