Question

rationalise and find a and b. 2+√3/2-√3=a+b√3​

Answer 1

Answer:

a = 7 or b= 4

Step-by-step explanation:

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} } = a + b \sqrt{3} \\ at \: rationalise \\ \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } \\ \frac{4 + 3 + 4 \sqrt{3} }{4 - 3} \\ 7 + 4 \sqrt{3} = a + b \sqrt{3}$

here a = 7 , or b =4

i hope its helpfull.