Question

$1 \ \div \sqrt{2 - } \sqrt{3}$
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Answer 1

Answer:

$\huge{ \large{ \pink{ - \sqrt{2} - \sqrt{3} }}}$

Step-by-step explanation:

$\dfrac{1}{ \sqrt{2} - \sqrt{3} } \\ = \dfrac{1( \sqrt{2} + \sqrt{3} )}{( \sqrt{2} - \sqrt{3})( \sqrt{2} + \sqrt{3}) } \\ = \dfrac{ \sqrt{2} + \sqrt{3} }{( { \sqrt{2} })^{2} - { (\sqrt{3} )}^{2} } \\ = \dfrac{ \sqrt{2} + \sqrt{3} }{2 - 3} = \dfrac{ \sqrt{2} + \sqrt{3} }{ - 1} = - \sqrt{2} - \sqrt{3}$