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## MathML Demo: <msqrt>, <mroot> - radicals

NOTES:
1. Alternate stylesheets are available from: "View -> Use StyleSheet -> TeX | Mathematica"
2. Click on a MathML fragment to view its WYSIWYG source.
3. In the examples below, the text won't be allowed to decrease pass the scriptminsize or your browser's minimum allowable font size -- this can be set with, e.g, user_pref("font.minimum-size.x-western", 10). To see the effect of the gradual decrease induced by changes in script levels more clearly, you may have to increase your default font size in the menu: "Edit -> Preferences -> Appearance -> Fonts".
• Here is how the alphabet looks like at scriptminsize: a, b, c ... x, y, z
• Here is how greek letters look like at scriptminsize: α, β, γ ..., ψ, ω, ϑ, ϒ, ϖ
• Here is how numbers look like at scriptminsize: 0, 1, 2, ..., 10, 11, 12, ...
4. You can use "View -> Text Zoom" in the usual way to zoom the MathML text along with the other text.
5. There is a tracker bug where you can report rendering errors on the demos.

MathML has two root objects, an `<msqrt>` $\sqrt{x}$ and an `<mroot>` $\sqrt[3]{x}$. These are pretty simple. About all you can do with them is see how the rendering stretches them in various ways: horizontally $\sqrt{{\mathrm{sin}}x{\mathrm{cos}}y}$, vertically $\sqrt{\frac{\frac{1}{2}}{\frac{3}{4}}}$ and $\sqrt{{{\mathrm{det}}\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)}^{2}}$, as well as $\sqrt[xyzw]{2}$, $\sqrt[\frac{\frac{1}{2}}{\frac{3}{4}}]{2}$, and $\sqrt[⌈{det}\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)⌉]{2}$.

## displays

MathML has two root objects, an `<msqrt>` $\sqrt{x}$ and an `<mroot>` $\sqrt[3]{x}$These are pretty simple. About all you can do with them is see how the rendering stretches them in various ways: horizontally $\sqrt{{\mathrm{sin}}x{\mathrm{cos}}y}$vertically $\sqrt{\frac{\frac{1}{2}}{\frac{3}{4}}}$ and $\sqrt{{{\mathrm{det}}\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)}^{2}}$ as well as $\sqrt[xyzw]{2}$ $\sqrt[\frac{\frac{1}{2}}{\frac{3}{4}}]{2}$and $\sqrt[⌈{det}\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)⌉]{2}$

The formula of Binet shows how the n-th term in the Fibonacci series can be expressed using roots ${f}_{n}=\frac{1}{\sqrt{5}}\left[{\left(\frac{1+\sqrt{5}}{2}\right)}^{n}-{\left(\frac{1-\sqrt{5}}{2}\right)}^{n}\right]$

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