4 Function Calculator with Square Root
A 4 function calculator with square root is a basic calculator that adds, subtracts, multiplies, divides, and finds the square root (sqrt) of a number with one key (√). Type 144, press √, and the display shows 12.
One key: √144 = 12, since 12 × 12 = 144
3 Main Benefits of a Basic Calculator With Square Root
Fast Answers
Square roots without a scientific calculator.
A Simple Keypad
The 4 operations plus one √ key.
Free Access
Online or in a mobile app.
6 Main Parts of the Calculator
What Is a 4 Function Calculator With Square Root?
A 4 function calculator with square root is an arithmetic calculator that performs addition, subtraction, multiplication, and division, plus the square root function. Most models add a few extra keys and still count as four function calculators on school tests.
Percent, sign, and memory keys.
Brands and Software Versions
Texas Instruments (TI), Casio, Sharp Corporation, Canon Inc., and Hewlett-Packard (HP) all sell basic calculators with a √ key. Software versions work the same way.
Microsoft Calculator
Shows √x in Standard mode.
Apple Calculator
Shows √x in Scientific mode.
4 Function Calculator Online
Runs as a web application in any browser.
Square Roots by Calculator Type
| Calculator type | Square root | Example models |
|---|---|---|
| Four function calculator | Sometimes (√ key) | Casio SL-300SV, TI-1795 SV |
| Scientific calculator | ✓ Yes, plus cube and nth roots | TI-30X IIS, Casio fx-300ES Plus |
| Graphing calculator | ✓ Yes | TI-84 Plus CE, HP Prime |
| Software calculator | ✓ Yes | Microsoft Calculator, Google Calculator, Desmos, Wolfram Alpha |
How to Use This Calculator With Square Root
Type a number and press √; the root appears right away. Type 81, press √, and the display shows 9.
Run Basic Operations
Type 45, press +, −, ×, or ÷, type 5, and press =.
Take the Root of a Sum
Type 9 + 16, press = (25), then press √ (5).
Take the Root of One Term
For 10 + √49, type 10 +, type 49, press √ (7), then press = (17).
Clear Mistakes
Press AC to clear everything, or ⌫ to delete the last digit.
Understanding Square Roots
A square root is the number that gives the original number when multiplied by itself. √25 = 5, since 5 × 5 = 25.
The side length of a square is the square root of its area.
5 Key Facts About the Square Root
A Function
The square root is a function (mathematics): each non-negative input gives exactly one output, so 25 always maps to 5.
Inverse of Squaring
Squaring a number (the square, x²) and taking its square root are inverse operations.
Exponent Form
In exponentiation terms:
The Principal Root
The √ key returns the positive (principal) root.
How Calculators Find Roots
With an algorithm, usually a form of Newton's method that refines a guess until the digits stop changing.
Perfect Squares vs. Non-Perfect Squares
Perfect squares have whole-number roots, and non-perfect squares have endless, non-repeating decimal roots. These are the 12 perfect squares from 1 to 144.
Round non-perfect roots to 2 decimal places for most tasks.
Square Roots in the Order of Operations
In the order of operations (PEMDAS), square roots rank with exponents, after parentheses and before multiplication, division, addition, and subtraction.
- PParentheses
- E √Exponents & roots
- MMultiplication
- DDivision
- AAddition
- SSubtraction
Examples of Square Root Calculations
There are 6 common square root calculations on a 4 function calculator with square root.
Perfect Square
Perfect Square
Non-Perfect Square
Sum of Two Roots
Root of a Sum
Sum of Two Roots
Ladder Example: The Pythagorean Theorem
A ladder with its base 5 ft (1.52 m) from a wall, reaching 12 ft (3.66 m) up, is 13 ft (3.96 m) long.
Room Example: Wall Length From Area
A square room of 144 sq ft (13.38 m²) has walls 12 ft (3.66 m) long. Type 144 and press √.
Where Square Root Calculations Are Used
Square root calculations are used in schools, construction, statistics, physics, and finance.
Schools
The Pythagorean theorem, the distance formula, and finding the zeros of a function.
Construction
Rafter and brace lengths. The 3-4-5 rule gives a 5 ft (1.52 m) diagonal from 3 ft and 4 ft sides.
Statistics
Turns variance into standard deviation.
Physics
Fall speed: a drop from 20 m (65.6 ft) lands at about 19.8 m/s (44.3 mph).
Finance
Scales volatility from daily to yearly.
Explore Other Calculators
Need more than square roots? Pick the specialized calculator that matches your exact math needs.
Frequently Asked Questions
Can a 4 function calculator find square roots?
Yes, a 4 function calculator finds square roots when the calculator has a √ key. Most pocket and desktop models from Casio, Sharp, Canon, and Texas Instruments include one.
How do you find a square root on a basic calculator?
To find a square root on a basic calculator, type the number and press √. For a longer expression, press = first, then √.
Can you take the square root of a negative number?
No, you cannot take the square root of a negative number within the real numbers. A basic calculator shows an error (E) for √−16. In complex numbers, √−16 = 4i.
Is this square root calculator free to use?
Yes, this square root calculator is free to use, with no sign-up, download, or usage limit. The calculator runs in any web browser on a phone, tablet, or computer.
Start Calculating Square Roots Now
Use this free online 4 function calculator with square root. Add, subtract, multiply, divide, and find √ — all in one tool. No downloads, no sign-ups.
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