Question

PLEASE HELPRationalize the denominator and simplify.




$\frac{5}{4-\sqrt{3} }$

Answer 1

- Multiply by the conjugate $\frac{4+ \sqrt{3} }{4+ \sqrt{3}}$

= $\frac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}$

     $(4-\sqrt{3})(4+\sqrt{3})=13$

= $\frac{5(4+\sqrt{3})}{13}$