Question

pls answer the following question. ​

Answer 1

Answer:

(1)

Step-by-step explanation:

Here 1/(sqrt(4)-sqrt(3)) = sqrt(4) + sqrt(3)

It is an irrational number so its conjugate sqrt(4) - sqrt(3) will also be a root of the given polynomial.

Method 1

So the sum of the roots in this case,

sqrt(4) + sqrt(3) +sqrt(4) - sqrt(3) = 2sqrt(4) = - b/a

Product of the roots is,

(sqrt(4) + sqrt(3)) *(sqrt(4) - sqrt(3)) = 1 = c/a

These conditions satisfy the first equation.

Method 2

Use (x-(sqrt(4) + sqrt(3)) (x-(sqrt(4) - sqrt(3)) =0 to get the required polynomial which is the 1st option