Question

сократить дробь √x+1/x-1

Answer 1

$( sqrt{a} ) ^{2} =a, a geq 0$
$frac{ sqrt{x} +1}{x-1} = frac{ sqrt{x} +1}{( sqrt{x} ) ^{2} - 1^{2} } = frac{ sqrt{x} +1}{( sqrt{x} +1)*( sqrt{x} -1)} = frac{1}{ sqrt{x} -1}$