Question

Вычислите
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Answer 1

Объяснение:

$( \frac{1}{7 + \sqrt{3} } - \frac{1}{7 - \sqrt{3} } ) \times 4 \sqrt{3} = \\ = \frac{7 - \sqrt{3} - 7 - \sqrt{3} }{(7 + \sqrt{3})(7 - \sqrt{3} ) } \times 4 \sqrt{3} = \\ = \frac{ - 2 \sqrt{3} }{(7 + \sqrt{3})( 7 - \sqrt{3} )} \times 4 \sqrt{3} = \\ = \frac{( - 2 \sqrt{3} )(4 \sqrt{3} )}{49 - 3} = \frac{ - 8 \times 3}{46} = \\ = - \frac{24}{46} = - \frac{12}{23}$