Question

rationalize the denominator of the following expression. 1/√3+1​

Answer 1

Answer:

(√3-1)/2

Step-by-step explanation:

i hope it helps you

Answer 2

Step-by-step explanation:

$\huge \bold{Answer}:$

$\\ = \bold{ \frac{1}{ \sqrt{3} + 1}}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \frac{1}{ \sqrt{3} + 1} \times \frac{ \sqrt{3} - 1}{ \sqrt{3} - 1 }\\ = \frac{ \sqrt{3} - 1}{( \sqrt{3})^{2} - {1}^{2} }\\ = \frac{ \sqrt{3} - 1}{2}$

Formula used

$\\ \huge\bold{Formula \: used}:$

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