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How to Use Square Root on Apple Calculator

Reviewed by Calculator Editorial Team

Calculating square roots is a fundamental math operation that appears in many areas of mathematics, science, and engineering. Apple's built-in calculator app provides a straightforward way to perform this calculation on iOS and macOS devices. This guide will walk you through the process of using the square root function on Apple's calculator.

Introduction

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 × 3 = 9. Apple's calculator provides a dedicated button for calculating square roots, making this operation quick and easy.

This guide will cover:

  • How to access the square root function on Apple's calculator
  • Step-by-step instructions for performing square root calculations
  • Worked examples to demonstrate the process
  • The mathematical formula behind square roots
  • Common questions about using square roots on Apple's calculator

Step-by-Step Guide

Accessing the Square Root Function

  1. Open the Calculator app on your iPhone, iPad, or Mac.
  2. On iOS devices, the square root button (√) is located in the top row of the calculator interface.
  3. On macOS, you'll find the square root button in the same top row of the calculator window.

Performing a Square Root Calculation

  1. Enter the number you want to find the square root of. For example, type "25".
  2. Press the square root button (√). The calculator will display the square root symbol followed by your number.
  3. Press the equals (=) button to calculate the result. The calculator will display the square root of your number.

Tip: You can also calculate the square root of a calculation by first performing the calculation and then pressing the square root button before pressing equals.

Clearing the Calculation

To clear the current calculation and start over:

  1. Press the clear (AC) button to reset the calculator.

Worked Examples

Example 1: Simple Square Root

Find the square root of 16.

  1. Type "16" on the calculator.
  2. Press the √ button.
  3. Press the = button.
  4. The calculator displays "4" as the result.

Example 2: Square Root of a Calculation

Find the square root of 25 + 16.

  1. Type "25" and press the + button.
  2. Type "16" and press the = button.
  3. The calculator displays "41" as the result of the addition.
  4. Press the √ button.
  5. Press the = button.
  6. The calculator displays "6.403124237" as the square root of 41.

Example 3: Square Root of a Decimal

Find the square root of 2.25.

  1. Type "2.25" on the calculator.
  2. Press the √ button.
  3. Press the = button.
  4. The calculator displays "1.5" as the result.

Square Root Formula

The square root of a number x is a value y such that y² = x. Mathematically, this is represented as:

√x = y

where y² = x

For example, if x = 9, then y = 3 because 3² = 9.

Apple's calculator uses this formula to compute square roots accurately.

Frequently Asked Questions

Can I calculate the square root of negative numbers on Apple's calculator?

No, Apple's calculator does not support calculating the square root of negative numbers. The square root function is only defined for non-negative real numbers.

How many decimal places does the square root function show?

The square root function on Apple's calculator typically shows up to 10 decimal places, depending on the device and iOS/macOS version.

Can I use the square root function with fractions or mixed numbers?

Yes, you can use the square root function with fractions or mixed numbers. Simply enter the fraction or mixed number and then press the √ button.

Is there a way to calculate the cube root on Apple's calculator?

No, Apple's built-in calculator does not have a dedicated cube root function. However, you can calculate cube roots using the exponent function (yˣ) by entering the number and raising it to the power of 1/3.