Question

The other root of the quadratic equation with rational coefficients if one root is $2-\sqrt{3}$ is $a+\sqrt{b}$. Find $a+b$.

Answer 1

Since, one root is $2-\sqrt{3}$ and the coefficients of the quadratic equation are real,
Other root is $2+\sqrt{3}$
Comparing with $a+\sqrt{b}$
So, $a=2,b=3$
Hence, $a+b=5$.