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Answer 1

Answer:

Root 3 is irrational is proved by the method of contradiction. If root 3 is a rational number, then it should be represented as a ratio of two integers. We can prove that we cannot represent root is as p/q and therefore it is an irrational number. 

Step-by-step explanation:

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Answer 2

Answer:

a=2+√3

1/a=1(/2+√3)

=1/(2+√3) ×(2-√3)/(2-√3)

=(2-√3) / (2)^2-(√3)^2

=(2-√3) /4-3

=(2-√3)

Step-by-step explanation:

then,

a+1/a= (2+√3)+(2-√3)

=2+√3+2-√3

=4