Question

Thu gọn biểu thức sau 4 phần √7 + √ 3 + 4 phần √7 - √3

Answer 1

\(\dfrac{4}{\sqrt{7}+\sqrt{3}}+\dfrac{4}{\sqrt{7}-\sqrt{3}}\\ =\dfrac{4\left(\sqrt{7}-\sqrt{3}\right)}{\left(\sqrt{7}+\sqrt{3}\right)\left(\sqrt{7}-\sqrt{3}\right)}+\dfrac{4\left(\sqrt{7}+\sqrt{3}\right)}{\left(\sqrt{7}+\sqrt{3}\right)\left(\sqrt{7}-\sqrt{3}\right)}\\ =\dfrac{4\left(\sqrt{7}-\sqrt{3}\right)}{7-3}+\dfrac{4\left(\sqrt{7}+\sqrt{3}\right)}{7-3}\\ =\dfrac{4\left(\sqrt{7}-\sqrt{3}\right)}{4}+\dfrac{4\left(\sqrt{7}+\sqrt{3}\right)}{4}\\ =\sqrt{7}-\sqrt{3}+\sqrt{7}+\sqrt{3}\\ =2\sqrt{7}\)

@seven

Answer 2

\(=\sqrt{7}-\sqrt{3}+\sqrt{7}+\sqrt{3}\)

=2*căn 7