Step-by-step explanation:
[tex] \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \\ \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \times \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} } \\ \\ \frac{3 - \sqrt{6} - \sqrt{6} + 2 }{( \sqrt{3} {)}^{2} - ( \sqrt{2} {)}^{2} } \\ \\ \frac{5 - \sqrt{12} }{3 - 2} \\ \\ \frac{5 - \sqrt{12} }{1} \\ \\ 5 - 2 \sqrt{3} [/tex]
Answer: 5 - 2√6
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Answers & Comments
Answer:-
5 - 2√3
Step-by-step explanation:
[tex] \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \\ \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \times \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} } \\ \\ \frac{3 - \sqrt{6} - \sqrt{6} + 2 }{( \sqrt{3} {)}^{2} - ( \sqrt{2} {)}^{2} } \\ \\ \frac{5 - \sqrt{12} }{3 - 2} \\ \\ \frac{5 - \sqrt{12} }{1} \\ \\ 5 - 2 \sqrt{3} [/tex]
Answer: 5 - 2√6
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