Question

simplify please give me correct answer

Answer 1

●•••••••••• Hello User •••••••••●
《《 Here is your answer 》》
________________________

$by \: rationalising : \\ \\ = \frac{3 \sqrt{2} - 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } + \frac{ \sqrt{12} }{ \sqrt{3} - \sqrt{2} } \\ \\ = \frac{3 \sqrt{2} - 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \times \frac{3 \sqrt{2} - 2 \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } + \frac{ 2\sqrt{3} }{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \\ = \frac{ {(3 \sqrt{2} - 2 \sqrt{3} )}^{2} }{ {(3 \sqrt{2} )}^{2} - {(2 \sqrt{3} )}^{2} } + \frac{2 \sqrt{3} \times ( \sqrt{3} + \sqrt{2} ) }{ {( \sqrt{3} )}^{2} - {( \sqrt{2} )}^{2} } \\ \\ = \frac{18 + 12 - 12 \sqrt{6} }{18 - 12} + \frac{6 + 2 \sqrt{6} }{3 - 2} \\ \\ = \frac{6 \times (3 + 2 - 2 \sqrt{6}) }{6} + \frac{6 + 2 \sqrt{6} }{1} \\ \\ = \frac{ (3 + 2 - 2 \sqrt{6}) }{1} + \frac{6 + 2 \sqrt{6} }{1} \\ \\ = 5 - 2 \sqrt{6} + 6 + 2 \sqrt{6} \\ \\ = 11$
________________________

《 Hope it may helpful to you 》

○○○○ @ajaman ○○○○

●••••• ☆ BRAINLY STAR ☆ •••••●

Answer 2

Heya,
_______________

See the above pic....for your answer !
_______________

Hope it helps....and sorry if there are any mistake in my answer ☺