Question

\(\left(5\sqrt{7}+7\sqrt{5}\right):\sqrt{35}\)

Answer 1

`(5sqrt7+7sqrt5):sqrt{35}`

`=(sqrt{5}.sqrt{7}.sqrt{5}+sqrt{5}.sqrt{7}.sqrt{7}):sqrt{35}`

`=sqrt{5}.sqrt{7}(sqrt5+sqrt7):sqrt{35}`

`=sqrt{35}(sqrt5+sqrt7):sqrt{35}`

`=sqrt5+sqrt7`

Answer 2

Ta có : \(\left(\sqrt{5}\sqrt{5}\sqrt{7}+\sqrt{7}\sqrt{7}\sqrt{5}\right):\sqrt{35}\)

\(=\left(\sqrt{5}\sqrt{35}+\sqrt{7}\sqrt{35}\right):\sqrt{35}\)

\(=\sqrt{5}+\sqrt{7}\)