Question

\(\sqrt{4-\sqrt{7}}.\sqrt{4+\sqrt{7}}\)

Answer 1

\(=\sqrt{\left(4-\sqrt{7}\right)\left(4+\sqrt{7}\right)}=\sqrt{16-7}=3\)

Answer 2

\(=\sqrt{\left(4-\sqrt{7}\right)\left(4+\sqrt{7}\right)}=\sqrt{16-7}=\pm3\)

Answer 3

`\sqrt{4-\sqrt{7}}.\sqrt{4+\sqrt{7}}`

`=\sqrt{(4-\sqrt{7})(4+\sqrt{7})}`

`=\sqrt{16-7}`

`=\sqrt{9}=3`

Answer 4

`\sqrt{4-\sqrt{7}}.\sqrt{4+\sqrt{7}}`

`=\sqrt{(4-\sqrt{7})(4+\sqrt{7})}`

`=\sqrt{16-7}`

`=\sqrt{9}=3`

Answer 5

`\sqrt{4-\sqrt{7}}.\sqrt{4+\sqrt{7}}`

`=\sqrt{(4-\sqrt{7})(4+\sqrt{7})}`

`=\sqrt{16-7}`

`=\sqrt{9}=3`