Question

rút gọn biểu thức :

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

Answer 1

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

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

\(=\sqrt{7}+2+3-\sqrt{7}=5\)

Answer 2

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

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

\(=\sqrt{7}+2+3-\sqrt{7}\)

\(=5\)