Question

(\(\sqrt{\dfrac{1}{7}}\)-\(\sqrt{\dfrac{16}{7}}\)+\(\sqrt{7}\)):\(\sqrt{7}\)

Answer 1

\(\left(\sqrt{\dfrac{1}{7}}-\sqrt{\dfrac{16}{7}}+\sqrt{7}\right):\sqrt{7}\)

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

\(=\dfrac{4\sqrt{7}}{7}:\sqrt{7}\)

\(=\dfrac{4}{7}\)

Answer 2

\(=\dfrac{1}{7}-\dfrac{4}{7}+1=\dfrac{-3}{7}+\dfrac{7}{7}=\dfrac{4}{7}\)

Answer 3

`= 1/7 - 4/7 + 1`

`= 4/7`