Since \(8\times 8=64\), the square root of \(64\) is \(8\).
\[\sqrt{1+\sqrt{1+\sqrt{1+8}}}\]
Simplify \(1+8\) to \(9\).
\[\sqrt{1+\sqrt{1+\sqrt{9}}}\]
Since \(3\times 3=9\), the square root of \(9\) is \(3\).
\[\sqrt{1+\sqrt{1+3}}\]
Simplify \(1+3\) to \(4\).
\[\sqrt{1+\sqrt{4}}\]
Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[\sqrt{1+2}\]
Simplify \(1+2\) to \(3\).
\[\sqrt{3}\]
Decimal Form: 1.732051
sqrt(3)
