Question

Звiльнiться вiд iррацiональностi в знаменнику 75-2√6

Answer 1

$frac{7}{5-2 sqrt{6} }= frac{7(5+2 sqrt{6} )}{(5-2 sqrt{6} )(5+2 sqrt{6} )}= \ = frac{7(5+2 sqrt{6} )}{5^2-(2 sqrt{6} )^2}= frac{35+14 sqrt{6} }{25-4*6}=35+4 sqrt{6}$