Question

If two roots of a biquadratic equation are $1-\sqrt{3}$ and $1+\sqrt{5}$, then the other two will be?

• A. $\sqrt{3}$ and $\sqrt{5}$
• B. $1+\sqrt{3}$ and $1-\sqrt{5}$
• C. $1$ and $5$
• D. None of the above

Answer 1

The correct option is B $1+\sqrt{3}$ and $1-\sqrt{5}$

Irrational roots always occur in Conjugate pairs, hence the other two roots will be the conjugates of the first two roots, i.e $1+\sqrt{3}$ and $1-\sqrt{5}$.