Question

Rationalize.5-√3/4+√2.

Answer 1

Step-by-step explanation:

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Answer 2

$\huge{\bold{ Question:-}}$

$rationalize \: \\ \frac{5 - \sqrt{3} }{4 + \sqrt{2} } \\ \\ \huge{\bold{ Solution:- }} \\ \\ \frac{5 - \sqrt{3} }{4 + \sqrt{2} } \\ \\ = \frac{(5 - \sqrt{3} ) \times (4 - \sqrt{2)} }{(4 + \sqrt{2)} \times (4 - \sqrt{2} ) } \\ \\ = \frac{20 - 5 \sqrt{2} - 4 \sqrt{3} + \sqrt{6} }{ {4}^{2} - { (\sqrt{2}) }^{2} } \\ \\ = \frac{20 - 5 \sqrt{2} - 4 \sqrt{3} + \sqrt{6} }{16 - 2} \\ \\ = \frac{4(5 - \sqrt{3} )- 5 \sqrt{2} + \sqrt{6} }{14}$

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