Question

value of (2+root3) / (2-root3)​

Answer 1

Answer:

10√3

Step-by-step explanation:

=(2+√3)/(2-√3) ×(2+√3)/(2+√3)

=(2+√3)^2/4-3

now by using identity (a+b)^2 =a^2+b^2+2ab

we will get our answer 10√3

Hope you will understand!!

Answer 2

Answer:

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} }$

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$

$\frac{( {2 + \sqrt{3)} }^{2} }{ {( {2)}^{2} }^{ - \sqrt{( { \sqrt{3)} }^{2} } } }$

$( {a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

$= 4 + 4 \sqrt{3} + 3$

= 7 + 4√3

${a}^{2} - {b }^{2} = (a + b)(a - b)$

$= 4 - 3 = 1$

$\frac{7 + \sqrt{3} }{1}$

= 7+4√3