Question

The conjugate surd of $2-\sqrt{3}$ is ___________.

• A. $-2+\sqrt{3}$
• B. $2-(-\sqrt{3})$
• C. $3+\sqrt{2}$
• D. $\frac{1}{2-\sqrt{3}}$

Answer 1

Answer: (B), (D)

The correct options are
B $2-(-\sqrt{3})$
D $\frac{1}{2-\sqrt{3}}$

The conjugate surd of $2-\sqrt{3}$ is
$=2-(-\sqrt{3})$
i.e The conjugate surd of $2-\sqrt{3}$ is

$2+\sqrt{3}$
$=(2+\sqrt{3})\times \frac{2-\sqrt{3}}{2-\sqrt{3}}$
$=\frac{4-3}{2-\sqrt{3}}$
$=\frac{1}{2-\sqrt{3}}$