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If a and b are rational and alpha, beta...

If a and b are rational and ` alpha, beta` be the roots of ` x^(2) + 2ax + b=0` , then the equation with equation with rational conefficients one of whose roots is ` alpha + beta + sqrt(alpha^(2) + beta^(2))` is

A

`x^(2)-4ax+2b=0`

B

`x^(2)+4ax-2b=0`

C

`x^(2)-4ax-2b=0`

D

`x^(2)+ 4ax+2b=0`

Text Solution

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The correct Answer is:
D
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