2 Times the Square Root of 2: How-to & Steps


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question 1 of 3

How does the process of iteration work when applied to calculating the square root of a number?

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1. What is ten times the square root of 2?

2. Which of the following is closest to 2 times the square root of 2 rounded to three decimal places?

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About This Quiz & Worksheet

The iteration process can help you find the square root of a number without using a calculator. This quiz/worksheet combo will assess your knowledge of this process, including the different information you need to have to accurately find a square root.

Quiz & Worksheet Goals

This quiz and worksheet will cover the following:

  • How the iteration process can help you find the square root of a number
  • What a hypotenuse is
  • What the Pythagorean Theorem tells us about triangles
  • Finding the square root of 2
  • Choosing what number best represents a reasonable guess in the iteration process

Skills Practiced

These assessments will use the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on solving for a square root
  • Problem solving - use acquired knowledge to solve iteration practice problems
  • Information recall - access the knowledge you've gained regarding finding a square root by hand

Additional Learning

To learn more about finding a square root without using a calculator, review the lesson called 2 Times the Square Root of 2: How-to & Steps. This lesson covers the following topics:

  • The process of iteration and how to use it
  • How accurate you need to be when calculating the square root
  • The best way to check your work