Question

Rationlise the denominator of 1

2−√3​

Answer 1

1/(2-√3) = 1/(2-√3) ×(2+√3)/(2+√3) = 2+√3/(2^2-√3^2) = 2+√3/4-3 = (2+√3)/1 = 2+√3

hope it helps you...be happy

Answer 2

Answer:

$\frac{2 + \sqrt{3} }{1}$

Step-by-step explanation:

Solution -

➠‎ ‎Let's rationalise the given irrational number.

$\frac{1}{2 - \sqrt{3} } \\ \\ = \frac{1}{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } \\ \\ (a - b {)}^{2} = (a + b)(a - b) \\ \\ (2 - \sqrt{3} )(2 + \sqrt{3} ) = (2 - \sqrt{3} {)}^{2} \\ \\ = {(2)}^{2} - ( \sqrt{3} {)}^{2} \\ \\ = 4 - 3 \\ \\ = 1 \\ \\ = \frac{2 + \sqrt{3} }{1}$