Question

Simplify ${(\sqrt{3}+2)}^2-{(\sqrt{3}-2)}^2$

• A. $8\sqrt{3}$
• B. 14
• C. $14+8\sqrt{3}$
• D. $14-8\sqrt{3}$

Answer 1

The correct option is A $8\sqrt{3}$

${(\sqrt{3}+2)}^2-{(\sqrt{3}-2)}^2$
$=(3+4+4\sqrt{3})-(3+4-4\sqrt{3})$
$=8\sqrt{3}$