Question

rationalize the denominator 1/√11-3​

Answer 1

Answer:

1/√11-3×√11+3/√11+3

√11+3/√11-9

√11+3/2

Answer 2

$\huge\underline\mathcal\color{purple}{AnSWeR}$

$= \frac{1}{ \sqrt{11} - 3 }$

$= \frac{1}{ \sqrt{11} - 3} \times \frac{ \sqrt{11} + 3 }{ \sqrt{11} + 3}$

$= \frac{ \sqrt{11} + 3 }{ ( { \sqrt{11} )}^{2} - {3}^{2} }$

$=\frac{ \sqrt{11} + 3 }{11 - 9}$

$= \frac{ \sqrt{11} + 3 }{2}$