Reading √ correctly
- √25 = 5, because 5 × 5 = 25.
- √2 ≈ 1.414 is irrational: its decimals never end or repeat.
- By convention, √ means the principal (nonnegative) root, so √9 is 3, not −3. The equation x² = 9 still has two solutions, x = ±3, which is why the quadratic formula puts ± in front of the root.
- In print, a bar (the vinculum) extends over everything under the root. √(x + 1) is not the same as √x + 1, so in plain text always use parentheses.
Other roots use a small index: ∛8 = 2 (cube root) and ∜16 = 2 (fourth root). Both are single characters you can copy from the look-alike list on this page.
√ is not a check mark
Some fonts make √ look like a check mark, and older documents sometimes used it that way. Avoid it. A screen reader typically announces √ as “square root,” and spreadsheets, filters and search tools won’t treat it as a check. For checklists and “done” columns, use ✓ or ✔ instead.
The reverse happens too: a ✓ pasted into a formula reads as a check mark, not a root. Pick the character that matches the meaning, and your document stays correct when it is searched, read aloud or converted.
Typing roots in Word, Excel, phones and LaTeX
- Word: in an equation (Alt+=), type
\sqrtand press space to get a root that stretches over its contents.\cbrtgives a cube root. - Excel and Google Sheets:
=SQRT(A1). For other roots, use a power:=A1^(1/3)is the cube root. - Programming:
Math.sqrt(x)in JavaScript,math.sqrt(x)in Python, orx ** 0.5. - LaTeX:
\sqrt{x}, and\sqrt[3]{x}for a cube root. - Android (Gboard): √ is on the second symbols page.
- iPhone: no default key; copy it here or use a text replacement.
Frequently asked questions
How do I type the square root symbol on Windows?
Hold Alt and type 251 on the numeric keypad in most programs. In Word, you can also type 221A and press Alt+X.
How do I type √ on a Mac?
Press Option+V.
What is the square root of a negative number?
It is not a real number. With complex numbers, √−1 = i.
How do I calculate a square root in Excel?
Use =SQRT(number). For example, =SQRT(144) returns 12.
Unicode data: Unicode Character Database 18.0.0 (unicode.org).