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## Symbols

$\sqrt{\phantom{\rule{.5em}{0ex}}}\phantom{\rule{.3em}{0ex}}\text{open radical}$

$\text{close radical}$

$\surd \phantom{\rule{.3em}{0ex}}\text{radical sign without vinculum}$
⠐⠩

## Explanation

### Example 1

$\sqrt{16}$
⠰⠩⠼⠁⠋⠬

### Example 2

$-\sqrt{25}$
⠐⠤⠰⠩⠼⠃⠑⠬

### Example 3

$\sqrt{30+6}$
⠰⠩⠼⠉⠚⠐⠖⠼⠋⠬

The numeric indicator turns on grade 1 mode, so the grade 1 indicator is not needed before the radical indicator in Example 4.

### Example 4

$2\sqrt{25}$
⠼⠃⠩⠼⠃⠑⠬

### Example 5

$6\sqrt{2}-3\sqrt{5}$
⠼⠋⠩⠼⠃⠬⠐⠤⠼⠉⠩⠼⠑⠬

The radical sign without vinculum symbol does not need to be in grade 1 mode because the symbol does not have a grade 2 meaning.

### Example 6

$\text{Use the √ symbol.}$
⠠⠥⠎⠑⠀⠮⠀⠐⠩⠀⠎⠽⠍⠃⠕⠇⠲

### Example 7

$\sqrt{x+y}$
⠰⠩⠭⠐⠖⠽⠬

### Example 8

$\frac{7\sqrt{2}}{3\sqrt{2}}$
⠰⠷⠼⠛⠩⠼⠃⠬⠨⠌⠼⠉⠩⠼⠃⠬⠾

### Example 9

$\sqrt{\frac{8}{3}}$
⠰⠩⠼⠓⠌⠉⠬

When an expression includes multiple opening and closing symbols of any type, the symbols must be terminated in the reverse order in which they were opened.

### Example 10

$\sqrt{\frac{x}{8}}$
⠰⠰⠩⠷⠭⠨⠌⠼⠓⠾⠬

### Example 11

$\sqrt{{x}^{4}}$
⠰⠰⠩⠭⠔⠼⠙⠬