Question

$\huge\sf \orange{Question}$

$\orange{ \bigstar}{\underline{\boxed{\mathsf{\frac{ \sqrt{11 - 3} }{ \sqrt{11 + 2} } = a - b \sqrt{11} }}}} \pink{\bigstar}$
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Answer 1

$\begin{gathered}\\ \sf\longmapsto \frac{ \sqrt{11} - 3}{ \sqrt{11} + 2}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{ \sqrt{11} + 3}{ \sqrt{11} + 2 } \times \frac{ \sqrt{11} - 2}{ \sqrt{11} - 2 } \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{( \sqrt{11} - 3) \times ( \sqrt{11} - 2) }{( \sqrt{11} + 2) \times ( \sqrt{11} - 2)}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{11 - 2 \sqrt{11} - 3 \sqrt{11} + 6 }{11 - 4} \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{17 - 5 \sqrt{11} }{7}\end{gathered}$

Hence, The values of A and B are 17 and 5 respectively..

Bestu, answer fraction mai aayega.

Answer 2

Answer:

♀️Hey mate☺️

$\begin{gathered}\\ \sf\longmapsto \frac{ \sqrt{11} - 3}{ \sqrt{11} + 2}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{ \sqrt{11} + 3}{ \sqrt{11} + 2 } \times \frac{ \sqrt{11} - 2}{ \sqrt{11} - 2 } \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{( \sqrt{11} - 3) \times ( \sqrt{11} - 2) }{( \sqrt{11} + 2) \times ( \sqrt{11} - 2)}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{11 - 2 \sqrt{11} - 3 \sqrt{11} + 6 }{11 - 4} \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{17 - 5 \sqrt{11} }{7}\end{gathered}$

• Hence, The values of A and B are 17 and 5 respectively..

$\purple{\rule{45pt}{7pt}}\red{\rule{45pt}{7pt}}\pink{\rule{45pt}{7pt}}\blue{\rule{45pt}{7pt}}$

Your question is wrong please check it correctly :)