Question

What is the value obtained when we expand $({1+\sqrt{3})}^2$?

• A. 29 +2√5
• B. 29 + 4√5
• C. 9 + 2√5
• D. 9 + 4√5

Answer 1

The correct option is C

9 + 2√5

${(1+\sqrt{3})}^2=(1+\sqrt{3})(1+\sqrt{3})$
$=1+3+2\sqrt{3}=4+2\sqrt{3}$