Question

Find value of a and b (5+2root 3) divided by (7+4root 3) =a+b root3

Answer 1

Answer:

11 - 6√3

( that is: a = 11, b = -6 )

Step-by-step explanation:

$\displaystyle\frac{5 + 2\sqrt3}{7+4\sqrt3}\\\\=\frac{(5+2\sqrt3)(7-4\sqrt3)}{(7+4\sqrt3)(7-4\sqrt3)}\quad\text{(multiplied numerator and denominator by 7-4\sqrt3 )}\\\\=\frac{35-20\sqrt3+14\sqrt3-24}{7^2-(4\sqrt3)^2}\\\\=\frac{11-6\sqrt3}{49-48}\\\\=11-6\sqrt3\\=a+b\sqrt3\quad\text{with a=11 and b=-6 }$

Answer 2

Answer:

Step-by-step explanation:

Here is ur ans