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  • 9.3: Division Properties of Radicals
    https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_(Arnold)/09%3A_Radical_Functions/9.03%3A_Division_Properties_of_Radicals
    \(\sqrt{\frac{2}{1485}} = \sqrt{\frac{2}{3^3 \cdot 5 \cdot 11}} = \sqrt{\frac{2}{3^3 \cdot 5 \cdot 11} \cdot \frac{3 \cdot 5 \cdot 11}{3 \cdot 5 \cdot 11}} = \sqrt{\frac{2 \cdot 3 \cdot 5 \cdot 11}{3^...\(\sqrt{\frac{2}{1485}} = \sqrt{\frac{2}{3^3 \cdot 5 \cdot 11}} = \sqrt{\frac{2}{3^3 \cdot 5 \cdot 11} \cdot \frac{3 \cdot 5 \cdot 11}{3 \cdot 5 \cdot 11}} = \sqrt{\frac{2 \cdot 3 \cdot 5 \cdot 11}{3^4 \cdot 5^2 \cdot 11^2}} = \frac{\sqrt{2 \cdot 3 \cdot 5 \cdot 11}}{3^2 \cdot 5 \cdot 11} = \frac{\sqrt{330}}{494}\)
  • 8.2: Simplifying Radical Expressions
    https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(Arnold)/08%3A_Quadratic_Functions/8.02%3A_Simplifying_Radical_Expressions
    \[\begin{array}{ll}{A=c^{2}+4\left(\frac{1}{2} a b\right)} & \color {Red} {\text { Adding the area of the interior square and the area of four right triangles. }} \\ {A=c^{2}+2 a b} & \color {Red} {\t...\[\begin{array}{ll}{A=c^{2}+4\left(\frac{1}{2} a b\right)} & \color {Red} {\text { Adding the area of the interior square and the area of four right triangles. }} \\ {A=c^{2}+2 a b} & \color {Red} {\text { Simplify: } 4((1 / 2) a b)=2 a b}\end{array} \nonumber \]
  • 8.2: Simplifying Radical Expressions
    https://math.libretexts.org/Workbench/Hawaii_CC_Intermediate_Algebra/08%3A_Quadratic_Functions/8.02%3A_Simplifying_Radical_Expressions
    \[\begin{array}{ll}{A=c^{2}+4\left(\frac{1}{2} a b\right)} & \color {Red} {\text { Adding the area of the interior square and the area of four right triangles. }} \\ {A=c^{2}+2 a b} & \color {Red} {\t...\[\begin{array}{ll}{A=c^{2}+4\left(\frac{1}{2} a b\right)} & \color {Red} {\text { Adding the area of the interior square and the area of four right triangles. }} \\ {A=c^{2}+2 a b} & \color {Red} {\text { Simplify: } 4((1 / 2) a b)=2 a b}\end{array} \nonumber \]

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