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How to Get Square Root on Regular Calculator

Reviewed by Calculator Editorial Team

Calculating square roots on a regular calculator is a fundamental math skill that can be used in many areas of life, from solving quadratic equations to measuring distances. This guide will show you how to accurately find square roots using your basic calculator.

How to Calculate Square Root

The square root of a number is a value that, when multiplied by itself, gives the original number. Most basic calculators don't have a dedicated square root button, but you can still find square roots using the following methods:

Square Root Formula:
√x = y where y × y = x

There are two primary methods to calculate square roots on a regular calculator:

  1. Using the exponent function (y^x)
  2. Using the logarithm function (ln and e^x)

Most modern calculators have both methods available, though the exponent method is generally simpler and more accurate.

Step-by-Step Guide

Method 1: Using the Exponent Function

  1. Enter the number you want to find the square root of
  2. Press the "y^x" or "x^y" button (this may be labeled as "x^" or "exp")
  3. Enter "0.5" (which is the same as 1/2)
  4. Press the equals (=) button to get the result

Tip: Some calculators may have a dedicated square root button (√). If yours does, you can simply enter the number and press the √ button for an immediate result.

Method 2: Using the Logarithm Function

  1. Enter the number you want to find the square root of
  2. Press the "ln" (natural logarithm) button
  3. Press the "÷" button and enter "2"
  4. Press the "=" button
  5. Press the "e^x" button to get the final result

This method is less common but works well if your calculator doesn't have an exponent function.

Worked Examples

Example 1: Finding √16

Using the exponent method:

  1. Enter 16
  2. Press y^x
  3. Enter 0.5
  4. Press =
  5. Result: 4

Example 2: Finding √25

Using the exponent method:

  1. Enter 25
  2. Press y^x
  3. Enter 0.5
  4. Press =
  5. Result: 5

Example 3: Finding √10

Using the exponent method:

  1. Enter 10
  2. Press y^x
  3. Enter 0.5
  4. Press =
  5. Result: 3.16227766 (rounded to 8 decimal places)

Frequently Asked Questions

Q: Why doesn't my calculator have a square root button?

A: Many basic calculators don't have a dedicated square root button because the exponent method (using y^x with 0.5) provides the same functionality. This method is more versatile as it can also calculate cube roots, fourth roots, etc.

Q: How do I calculate square roots of negative numbers?

A: Square roots of negative numbers are not real numbers. They are called imaginary numbers and are represented with the letter "i" (√-1 = i). Most basic calculators cannot calculate imaginary numbers.

Q: What if my calculator doesn't have an exponent function?

A: If your calculator doesn't have an exponent function, you can use the logarithm method (ln ÷ 2 then e^x) as described in the guide. This is less common but will still give you accurate square root results.

Q: How do I calculate cube roots or other roots?

A: The same exponent method works for other roots. For cube roots, use y^x with 0.333 (1/3). For fourth roots, use y^x with 0.25 (1/4), and so on.