Question

Tính giá trị biểu thức;

\(\dfrac{4}{\sqrt{5}-1}\)+\(\dfrac{\sqrt{15}-\sqrt{35}}{\sqrt{7}-\sqrt{3}}\)

Answer 1

Lời giải:

\(=\frac{4(\sqrt{5}+1)}{(\sqrt{5}-1)(\sqrt{5}+1)}+\frac{-\sqrt{5}(\sqrt{7}-\sqrt{3})}{\sqrt{7}-\sqrt{3}}=\frac{4(\sqrt{5}+1)}{5-1}-\sqrt{5}=(\sqrt{5}+1)-\sqrt{5}=1\)

Answer 2

\(\dfrac{4}{\sqrt{5}-1}+\dfrac{\sqrt{15}-\sqrt{35}}{\sqrt{7}-\sqrt{3}}\)

\(=\sqrt{5}+1-\sqrt{5}\)

=1