Rewrite \(20000\) as its prime factors.
\[\sqrt{2\times 2\times 2\times 2\times 2\times 5\times 5\times 5\times 5}\]
Group the same prime factors into pairs.
\[\sqrt{(2\times 2)\times (2\times 2)\times (5\times 5)\times (5\times 5)\times 2}\]
Rewrite each pair in exponent form.
\[\sqrt{{2}^{2}\times {2}^{2}\times {5}^{2}\times {5}^{2}\times 2}\]
Use this rule: \(\sqrt{{x}^{2}}=x\).
\[(2\times 2\times 5\times 5)\sqrt{2}\]
Simplify.
\[100\sqrt{2}\]
Decimal Form: 141.421356
100*sqrt(2)
