Question

The equation of fourth degree with rational coefficients one of whose roots is √3+ √2 is? ​

Answer 1

x4−10x2+1=0

∵3+2  is  a  root,  its  conjugate −3−2  is  also  a  root

Now  we  consider  the  quadratic  factor  (x2−5−26)  of  the  polynomial

The  other  quadratic  factor  would  be  (x2−5+26)

∴  The  polynomial  is ⇒x4−10x2+1

Step-by-step explanation:

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