Question

If $\frac{5+2\sqrt{3}}{7+4\sqrt{3}}=a+b\sqrt{3}$, then the values of a and b is

• A. a = − 11, b = − 6
• B. a = − 11, b = 6
• C. a = 11, b = − 6
• D. a = 6 , b = 11
• E. None of these

Answer 1

The correct option is C

a = 11, b = − 6

$\frac{(5+2\sqrt{3})}{(7+4\sqrt{3})}\times \frac{(7-4\sqrt{3})}{(7-4\sqrt{3})}$ = 11 - 6$\sqrt{3}$