1.

Rationalise 1/(1-root 3)​

Answer»

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



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