Question

The conjugate of the surd $\sqrt{5}-\sqrt{2}$ ?

• A. $\sqrt{5}+\sqrt{2}$
• B. $-\sqrt{5}+\sqrt{2}$
• C. Either $\left(A\right)$ or $\left(B\right)$
• D. None of these

Answer 1

The correct option is A $\sqrt{5}+\sqrt{2}$

The sum and difference of two quadratic surds is called as conjugate to each other.

In the given case, difference of two surds $\sqrt{5}$ and $\sqrt{2}$ is given. Hence, the conjugate will be sum of these two surds, i.e.

$\sqrt{5}+\sqrt{2}$.

Option A is the correct answer.