Question

Pls answer the questions fast

Answer 1

Step-by-step explanation:

$1) \: \frac{2}{3 \sqrt{3} } \\ = \frac{2(3 \sqrt{3} )}{ {(3 \sqrt{3}) }^{2} } \\ = \frac{6 \sqrt{3} }{9 \times 3} \\ = \frac{6 \sqrt{3} }{27} = \frac{2 \sqrt{3} }{9}$

$2) \: \frac{3 + \sqrt{2} }{4 \sqrt{2} } \\ = \frac{(3 + \sqrt{2})(4 \sqrt{2} ) }{ {(4 \sqrt{2}) }^{2} } \\ = \frac{3 \times 4 \sqrt{2} + 4 \sqrt{2} \times \sqrt{2} }{ {4}^{2} \times { (\sqrt{2} )}^{2} } \\ = \frac{12 \sqrt{2} + 4 \times 2 }{16 \times 2} \\ = \frac{12 \sqrt{2} + 8}{32} \\ = 4( \frac{3 \sqrt{2} + 2 }{8} )$

$3) \: \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3 } - \sqrt{2} } \\ = \frac{ {( \sqrt{3} + \sqrt{2}) }^{2} }{( \sqrt{3} - \sqrt{2})( \sqrt{3} + \sqrt{2} ) } \\ = \frac{ {( \sqrt{3})}^{2} + 2 \sqrt{3} \sqrt{2} + {( \sqrt{2} )}^{2} }{ {( \sqrt{3} )}^{2} - {( \sqrt{2} )}^{2} } \\ = \frac{3 + 2 \sqrt{6} + 4}{3 - 2} \\ = \frac{7 + 2 \sqrt{6} }{1} \\ = 7 + 2 \sqrt{6}$

Thanks!!

Please mark brainliest and follow me...