Question

Prove that 2 + root 3 is an irrational number.

Answer 1

root value =1/2 which equals it is irrational

Answer 2

Answer:

Step-by-step explanation:

let

2 + √3 be rational

then 2+√3 is of form a/b( where a and be dont have any common factors)

2 + √3 = a/b

√3 = (a/b) -2

√3 = (a-2b)/b (by lcm)

we know √3 is irrational but (a-2b)/b is rational then

irrational = rational ,

this is a contradiction and this problem has arisen because of our incorrect assumption that 2 + √3 is rational

hence, 2+ √3 is irrational

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