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Mini-Quiz: Newton's Square Root Approximation

by Ron Kurtus (updated 18 January 2022)

Take this Mini-Quiz to check your understanding of the lesson material.

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1. What is the approximate square root of 289 if you guess at 17?

18.9

Exactly 17

Exactly 15

2. Which is closest to the square root of 10?

3.162

5.03

2.5

3. How can you tell when you have the right answer?

Do an iterative process 20 times

By squaring your result to see if it is correct

You can never tell

If you got all three correct, you are on your way to becoming a Champion in Algebra. If you had problems, you had better look over the material again.

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Algebra topics

Mini-Quiz: Newton's Square Root Approximation

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Algebra topics

Basics

• Definition of Algebra
• Purpose of Algebra

Terminolgy

• Terminology Used in Algebra
• Variables and Constants
• Operations and Symbols
• Algebraic Expressions

Properties

• Addition and Multiplication
• Product of Negative Numbers
• Algebra of Objects
• Imaginary Numbers

Expressions

• Combining Like Terms
• Multiplying Binomial Expressions

Exponents and roots

• Exponents
• Exponent Rules
• Multiplication with Exponents
• Division with Exponents
• Exponents to the Power of 10
• Square Roots
• Newton's Approximation

Equations

• Linear Equations
• Solving One Variable Equation

Quadratic equations

• Quadratic Equations
• Solving Equations by Factoring
• Completing the Square Method
• Using the Quadratic Formula
• Derivation of Quadratic Formula

Also see

• Algebra Survey Results
• Arithmetic
• Physical Science
• Chemistry
• Good Grades

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