How Do You Figure Out if a Square Root is Bigger than Another Number?

How Do You Figure Out if a Square Root is Bigger than Another Number?

Note:

Comparing a square root to another number can be rough, unless you remember that squaring is opposite of taking the square root. Then things get much easier! See how it's done in this tutorial.

Keywords:

  • problem
  • inequality
  • square root
  • decimal
  • compare
  • inequality
  • square both sides

Background Tutorials

  • Inequalities and Comparing Real Numbers

      • What's an Inequality?What's an Inequality?

      What's an Inequality?

      Inequalities come up all the time when you're working algebra problems. In this tutorial you'll learn what an inequality is, and you'll see all the common inequality symbols that you're likely to see :)

  • Powers and Exponents

      • How Do You Square a Number?How Do You Square a Number?

      How Do You Square a Number?

      Want to square a number? Just take the number and multiply it by itself! If you square an integer, you get a perfect square! Check out squaring in this tutorial!

  • Square Roots

      • What Happens When You Square a Square Root?What Happens When You Square a Square Root?

      What Happens When You Square a Square Root?

      Remember that addition and subtraction are opposite operations and multiplication and division are opposite operations? Turns out, squaring and taking the square root are opposite operations too! See why in this tutorial!

Further Exploration

  • Inequalities and Comparing Real Numbers

  • Square Roots

      • How Do You Estimate the Square Root of a Non-Perfect Square?How Do You Estimate the Square Root of a Non-Perfect Square?

      How Do You Estimate the Square Root of a Non-Perfect Square?

      Trying to take the square root of a number that is not a perfect square? Think you need a calculator? Think again! This tutorial will show you how to estimate the square root of a number that is not a perfect square without the use of a calculator!