\(\sqrt{80.125a^2}=\sqrt{10000a^2}=100\left|a\right|\)\(=\left[{}\begin{matrix}100a\left(a\ge0\right)\\-100a\left(a< 0\right)\end{matrix}\right.\)
\(\sqrt{80\cdot125\cdot a^2}\)
\(=4\sqrt{5}\cdot5\sqrt{5}\cdot\left|a\right|\)
\(=100\left|a\right|\)
\(\sqrt{80\cdot125a^2}\)
= \(\sqrt{1000a^2}\)
= \(\sqrt{1000}.\sqrt{a^2}\)
= \(100a\)
\(\sqrt{16.625.a^2}=4.25.\left|a\right|=100\left|a\right|\)
=\(\sqrt80 . \sqrt125a^2\)
=\(4\sqrt5 . 5\sqrt5 . a\)
=100a
