Question

(√a+√b)/(a-b)-1/(√a-√b) спростити вираз

Answer 1

$dfrac{sqrt{a}+sqrt{b}}{a-b}-dfrac{1}{sqrt{a}-sqrt{b}}=dfrac{sqrt{a}+sqrt{b}}{(sqrt{a}-sqrt{b})(sqrt{a}+sqrt{b})}-dfrac{1}{sqrt{a}-sqrt{b}}=\ \ =dfrac{1}{sqrt{a}-sqrt{b}}-dfrac{1}{sqrt{a}-sqrt{b}}=0$

Answer 2

$frac{ sqrt{a} + sqrt{b} }{a-b} - frac{1}{ sqrt{a} - sqrt{b} } =$

$frac{ sqrt{a} + sqrt{b} }{a-b} - frac{1}{ sqrt{a} - sqrt{b} } cdot frac{ sqrt{a} + sqrt{b}}{ sqrt{a} + sqrt{b}} =$

$frac{ sqrt{a} + sqrt{b} }{a-b} - frac{sqrt{a} + sqrt{b} }{a-b} =$

$frac{ sqrt{a} + sqrt{b} - sqrt{a} - sqrt{b} } {a-b} =0$