Character Information

Code Point
U+221B
HEX
221B
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 88 9B
11100010 10001000 10011011
UTF16 (big Endian)
22 1B
00100010 00011011
UTF16 (little Endian)
1B 22
00011011 00100010
UTF32 (big Endian)
00 00 22 1B
00000000 00000000 00100010 00011011
UTF32 (little Endian)
1B 22 00 00
00011011 00100010 00000000 00000000
HTML Entity
∛
URI Encoded
%E2%88%9B

Description

The Unicode character U+221B is known as the CUBE ROOT symbol. In digital text, it serves a mathematical function, representing the cube root of a number in various fields such as physics, engineering, and mathematics. This particular symbol is crucial for accurately expressing complex calculations and formulas where the cube root operation is involved. U+221B holds no notable cultural, linguistic, or technical context beyond its role in mathematical expression, making it an important but specific tool within the vast landscape of Unicode characters. The precision and accuracy of this character's use are essential for clear communication in digital text where the cube root operation is pertinent.

How to type the symbol on Windows

Hold Alt and type 8731 on the numpad. Or use Character Map.

  1. Step 1: Determine the UTF-8 encoding bit layout

    The character has the Unicode code point U+221B. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of 0x0800 to 0xffff.

    Therefore we know that the UTF-8 encoding will be done over 16 bits within the final 24 bits and that it will have the format: 1110xxxx 10xxxxxx 10xxxxxx
    Where the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+221B to binary: 00100010 00011011. Those are the payload bits.

  3. Step 3: Fill in the bits to match the bit pattern:

    Obtain the final bytes by arranging the paylod bits to match the bit layout:
    11100010 10001000 10011011