Cal11 calculator
Search calculator...

Square Root Symbol on Graphing Calculator

Reviewed by Calculator Editorial Team

Graphing calculators use mathematical symbols to represent operations. The square root symbol (√) is essential for solving equations and analyzing functions. This guide explains how to locate and use this symbol on your graphing calculator.

How to Find the Square Root Symbol

The location of the square root symbol varies by calculator model. Most graphing calculators place it in the math or function menu. Here's how to find it:

On TI-84 Plus Family

  1. Press the MATH button
  2. Scroll down to option 3: Math
  3. Select √( from the submenu

On Casio fx-CG50

  1. Press the MENU button
  2. Select Math
  3. Choose √ from the options

On HP Prime

  1. Press the MATH button
  2. Select √ from the menu

If you can't find the symbol, check your calculator's manual or use the calculator's search function (if available) to locate it.

How to Use the Square Root Symbol

Once you've located the square root symbol, using it is straightforward. Here's how to implement it in different scenarios:

Basic Square Root Calculation

To calculate √9:

  1. Press the √ button
  2. Enter the number (9)
  3. Press = to see the result (3)

Square Root in Equations

To solve x² = 16:

  1. Enter the equation: x² = 16
  2. Use the √ button to take the square root of both sides
  3. Result: x = ±4

Square Root in Functions

To graph √x:

  1. Press Y=
  2. Enter Y1=√(X)
  3. Press GRAPH to view the function

The square root of a number x is the value that, when multiplied by itself, gives x. Mathematically:

√x = y where y² = x

Examples

Here are practical examples of using the square root symbol on a graphing calculator:

Example 1: Solving for x

Find the value of x in the equation √(x + 5) = 3

  1. Square both sides: (√(x + 5))² = 3² → x + 5 = 9
  2. Subtract 5: x = 4

Example 2: Graphing a Function

Graph the function y = √(x² + 1) - 2

  1. Press Y=
  2. Enter Y1=√(X²+1)-2
  3. Set appropriate window settings (Xmin=-5, Xmax=5, Ymin=-3, Ymax=3)
  4. Press GRAPH

Example 3: Calculating Area

Find the side length of a square with area 25 square units

  1. Press √
  2. Enter 25
  3. Result: 5 units

FAQ

Where is the square root symbol located on my calculator?

The square root symbol is typically found in the math or function menu. Check your calculator's manual or use the search function if available.

Can I use the square root symbol with negative numbers?

On most graphing calculators, the square root of a negative number will result in an error. For complex numbers, you may need to use the complex number mode.

How do I clear the square root function from my calculator?

Press the AC (All Clear) button to reset your calculator completely, or use the backspace button to remove the √ symbol from your current entry.

Can I use the square root symbol with variables?

Yes, you can use the square root symbol with variables in equations and functions. For example, you can enter √(x² + 1) in the Y= editor.