Simplify \(\sqrt{20}\) to \(2\sqrt{5}\).
\[2\times 2\sqrt{5}-2\sqrt{45}+\frac{1}{4}\sqrt{16}\]
Simplify \(\sqrt{45}\) to \(3\sqrt{5}\).
\[2\times 2\sqrt{5}-2\times 3\sqrt{5}+\frac{1}{4}\sqrt{16}\]
Since \(4\times 4=16\), the square root of \(16\) is \(4\).
\[2\times 2\sqrt{5}-2\times 3\sqrt{5}+\frac{1}{4}\times 4\]
Simplify \(2\times 2\sqrt{5}\) to \(4\sqrt{5}\).
\[4\sqrt{5}-2\times 3\sqrt{5}+\frac{1}{4}\times 4\]
Simplify \(2\times 3\sqrt{5}\) to \(6\sqrt{5}\).
\[4\sqrt{5}-6\sqrt{5}+\frac{1}{4}\times 4\]
Cancel \(4\).
\[4\sqrt{5}-6\sqrt{5}+1\]
Collect like terms.
\[(4\sqrt{5}-6\sqrt{5})+1\]
Simplify.
\[-2\sqrt{5}+1\]
Decimal Form: -3.472136
-2*sqrt(5)+1
