Question

\(\sqrt{\sqrt{10}+1}\) * \(\sqrt{\sqrt{10}-1}\)

Answer 1

\(\sqrt{\sqrt{10}+1}.\sqrt{\sqrt{10}-1}\)

\(=\sqrt{\left(\sqrt{10}+1\right)\left(\sqrt{10}-1\right)}\)

\(=\sqrt{\sqrt{10}^2-1^2}\)

\(=\sqrt{10-1}\)

\(=\sqrt{9}=3\)

Answer 2

\(=\sqrt{\left(\sqrt{10}\right)^2-1}=\sqrt{10-1}=\sqrt{9}=3\)

Answer 3

`= sqrt((sqrt 10 + 1)(sqrt 10 - 1))`

`=sqrt(10 - 1)`

 `= 3`