Question

please answer the question​

Answer 1

Answer:

(3√5+2)^2 just hope this answer will help you

Answer 2

$\large{\underline {\blue {\bf {Answer \: - \: a}}}}$

$\rm :\implies\: {(3 \sqrt{5} + 2)}^{2}$

$\rm :\implies\: {(3 \sqrt{5} )}^{2} + {(2)}^{2} + 2 \times 3 \sqrt{5} \times 2$

$\rm :\implies\:45 + 4 + 12 \sqrt{5}$

$\rm :\implies\:49 + 12 \sqrt{5}$

$\boxed{ \pink{\bf :\implies\:(3 \sqrt{5} + 2)^{2} \: is \: irrational. }}$

${\large {\underline {\blue {\bf {Answer - b}}}}}$

$\rm :\implies\:(5 \sqrt{2} + 3)(5 \sqrt{2} - 3)$

$\rm :\implies\: {(5 \sqrt{2} )}^{2} - {(3)}^{2}$

$\rm :\implies\:50 - 9$

$\rm :\implies\:41$

$\boxed{ \pink{\bf :\implies\:(5 \sqrt{2} + 3)(5 \sqrt{2} - 3) \: is \: rational. }}$

${\large {\underline {\blue {\bf {Answer \: - \: c}}}}}$

$\rm :\implies\:9 \sqrt{6} \times 4 \sqrt{6}$

$\rm :\implies\:36 \times 6$

$\rm :\implies\:216$

$\boxed{ \pink{\bf :\implies\:(9 \sqrt{6} \times 4 \sqrt{6} )\: is \: rational. }}$

${\large {\underline {\blue {\bf {Answer \: - \: d}}}}}$

$\rm :\implies\:3 \sqrt{7} - 5 \sqrt{7} + 2 \sqrt{7}$

$\rm :\implies\: \sqrt{7} (3 - 5 + 2)$

$\rm :\implies\:0$

$\boxed{ \pink{\bf :\implies\:3 \sqrt{7} - 5 \sqrt{7} + 2 \sqrt{7} \: is \: rational. }}$

So,

$\large \underline{ \boxed{ \pink{\bf :\implies\:Option \: (a) \: is \: correct }}}$