Question

if 2+√3
--------- =a+b√3 then find the
2-√3 value of 'a' and 'b'?
​

Answer 1

Answer:

A=7 , B=4

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} } \ \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } = \frac{(2 + { \sqrt{ 3)} }^{2} }{( {2}^{2} ) - ( { \sqrt{3} }^{2})} = \\ \frac{7 + 4 \sqrt{3} }{4 - 3} = 7 + 4 \sqrt{3 } = a + b \sqrt{3} \\ a = 7 \: \\ b = 4.$