Question

Rationalise the
denominator
1/4-underoot3
​

Answer 1

$\frac{1}{4 - \sqrt{3} }$

Multiplying 4+√3 to both numerator and denominator

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

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

$= \frac{4 + \sqrt{3} }{16 - 3}$

$= \frac{4 + \sqrt{3} }{13}$

Hope it clears your doubts