Question

rationalise 1/(1-root 3)​

Answer 1

Answer:

Question:

• ${ \sf{Rationalize : \frac{1}{1 - \sqrt{3} } }}$

Solution:

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

Used Formulae:-

• (a + b) (a - b) = a² - b²