Since \(3\times 3=9\), the square root of \(9\) is \(3\).
\[8-\sqrt{2\sqrt{7\times 3}}+\]
Simplify \(7\times 3\) to \(21\).
\[8-\sqrt{2\sqrt{21}}+\]
Collect like terms.
\[8-\sqrt{2\sqrt{21}}+1\]
Collect like terms.
\[(8+1)-\sqrt{2\sqrt{21}}\]
Simplify.
\[9-\sqrt{2\sqrt{21}}\]
Decimal Form: 5.972600
9-sqrt(2*sqrt(21))