Question

1 divide by root 5 -3​

Answer 1

Answer:

$\frac{1}{ \sqrt{5} - 3 }$

Rationalizing

$\frac{1}{ \sqrt{5} - 3} \times \frac{ \sqrt{5} + 3 }{ \sqrt{5} + 3}$

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

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

Answer 2

$\frac{1}{\sqrt{5} - 3 } \\\\\frac{1(\sqrt{5}+3) }{(\sqrt{5}-3)(\sqrt{5} + 3) }$

$\frac{\sqrt{5}+3 }{5- 9} \\\\\frac{\sqrt{5}+ 3 }{-4} = -\frac{\sqrt{5}+3 }{4}$