Question

rationalize the denominator of 1/(2+√3)​

Answer 1

Answer:

$2 - \sqrt{3}$

Step-by-step explanation:

$\frac{1}{2 + \sqrt{3} } \\ = \frac{(2 - \sqrt{3} )}{(2 + \sqrt{3} )(2 - \sqrt{3}) } \\ = \frac{ 2 - \sqrt{3} }{4 - 3} \\ = \frac{2 - \sqrt{3} }{1} \\ = 2 - \sqrt{3}$

Hope it helps you.

Answer 2

Answer:

1÷(2+√3)= 1÷(2+√3) × (2-√3)÷(2-√3)

= (2-√3)÷(2)²-(√3)²

= (2-√3)÷4 - 3

= (2-√3)÷ 1 which is also equals to (2-√3)