Question

rationalize 1 upon under root 11 - under root 2​

Answer 1

Answer:

$\red {\frac{1}{\sqrt{11} - \sqrt{2}} }\green {= \frac{ \sqrt{11} + \sqrt{2}}{ 9}}$

Step-by-step explanation:

$\frac{1}{\sqrt{11} - \sqrt{2}}$

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

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

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

$= \frac{ \sqrt{11} + \sqrt{2}}{ 9}$

Therefore.,

$\red {\frac{1}{\sqrt{11} - \sqrt{2}} }\green {= \frac{ \sqrt{11} + \sqrt{2}}{ 9}}$

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