Question

Сократите дробь
4 - с
_____
с+ 2√с

Answer 1

4-с=(2-√с)(2+√с)
с+2√с=√с(√с+2)
(2-√с)(2+√с)/√с(√с+2)=(2-√с)/√с

Answer 2

$...=frac{2^2-(sqrt{c})^2}{(sqrt{c})^2+2sqrt{c}}=frac{(2-sqrt{c})(2+sqrt{c})}{sqrt{c}(sqrt{c}+2)}=frac{2-sqrt{c}}{sqrt{c}}=frac{2}{sqrt{c}}-1$