if one root of the quadratic equation is 3+2root2 then what will be the other root?
No way to tell. However, if the function has rational coefficients, then the irrational roots must occur in conjugate pairs. Thus, the other root must be 3-2√2
To find the other root of the quadratic equation, we can use the fact that quadratic equations have conjugate roots.
The given root is 3 + 2√2.
The conjugate of a complex number is formed by changing the sign of its imaginary part. In this case, we change the sign of 2√2. So, the conjugate of 3 + 2√2 is 3 - 2√2.
Therefore, the other root of the quadratic equation is 3 - 2√2.