The question seems to be incomplete or incorrectly formatted. However, I can tell you that if a quadratic equation has rational coefficients, then the sum of its roots is given by the negation of the coefficient of the second term (the 'b' in the general quadratic equation ax^2 + bx + c = 0) divided by the coefficient of the first term (the 'a' in the general quadratic equation).

If one root is given as 1 + √2, the conjugate of this root will also be a root of the equation due to the nature of quadratic equations with rational coefficients. The conjugate of 1 + √2 is 1 - √2.

The sum of the roots is then (1 + √2) + (1 - √2) = 2.

So, the answer would be A. 2.

Please provide the complete question or correct the formatting for a more accurate answer.

Question

The question seems to be incomplete or incorrectly formatted. However, I can tell you that if a quadratic equation has rational coefficients, then the sum of its roots is given by the negation of the coefficient of the second term (the 'b' in the general quadratic equation ax^2 + bx + c = 0) divided by the coefficient of the first term (the 'a' in the general quadratic equation).

If one root is given as 1 + √2, the conjugate of this root will also be a root of the equation due to the nature of quadratic equations with rational coefficients. The conjugate of 1 + √2 is 1 - √2.

The sum of the roots is then (1 + √2) + (1 - √2) = 2.

So, the answer would be A. 2.

Please provide the complete question or correct the formatting for a more accurate answer.

Knowee AI · Accepted Answer

The question seems to be incomplete or incorrectly formatted. However, I can tell you that if a quadratic equation has rational coefficients, then the sum of its roots is given by the negation of the coefficient of the second term (the 'b' in the general quadratic equation ax^2 + bx + c = 0) divided by the coefficient of the first term (the 'a' in the general quadratic equation).

If one root is given as 1 + √2, the conjugate of this root will also be a root of the equation due to the nature of quadratic equations with rational coefficients. The conjugate of 1 + √2 is 1 - √2.

The sum of the roots is then (1 + √2) + (1 - √2) = 2.

So, the answer would be A. 2.

Please provide the complete question or correct the formatting for a more accurate answer.

A quadratic equation has rational coefficients. If one of its root is1 2, then the sum of itsroots will beA. 2B.  2C. 2 2 2D. 2 2 2

Question

A quadratic equation has rational coefficients. If one of its root is $1 + \sqrt{2}$ , then the sum of its roots will be

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