.................. - Universityku

$sf footnotesize frac{2 sqrt{6} }{2 + sqrt{3} } = ....$

………………

Penjelasan dengan langkah – langkah:

$sf footnotesize frac{2 sqrt{6} }{2 + sqrt{3} }$

$= sf frac{2 sqrt{6} }{2 + sqrt{3} } times frac{2 - sqrt{3} }{2 - 3}$

$= sf frac{2 sqrt{6} (2 - sqrt{3} )}{(2 + sqrt{3} ) times (2 - sqrt{3} )}$

$= frac{sf2 sqrt{6}(2 - sqrt{3} ) }{4 - 3}$

$= sf frac{2 sqrt{6}( - sqrt{3} )}{1}$

$= sf4 sqrt{6} - 6 sqrt{2}$

Jawaban:

$sf footnotesize frac{2 sqrt{6} }{2 + sqrt{3} }$

$= frac{2 sqrt{6} }{2 + sqrt{3} } times frac{2 - sqrt{3} }{2 - sqrt{3} }$

$= frac{2 sqrt{6} times (2 - sqrt{3} )}{4 - 3}$

$= frac{2 sqrt{6} (2 - sqrt{3} )}{1}$

$= 2 sqrt{6} (2 - sqrt{3} )$

$= (2 sqrt{6} times 2) - (2 sqrt{6} times sqrt{3} )$

$= 4 sqrt{6} - 6 sqrt{2}$