Question

Сократите дробь  √12-√2√2

Answer 1

$frac{ sqrt{12}- sqrt{2} }{ sqrt{2} } =( frac{ sqrt{12}- sqrt{2} }{ sqrt{2} })^2= frac { (sqrt{12}- sqrt{2})^2 }{2}= frac{12-2 sqrt{12} sqrt{2} +2 }{2} = frac{2(7- sqrt{12} sqrt{2}) }{2}= \ 7- sqrt{12*2}=7- sqrt{24}$