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

  • Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

      • 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 :)

  • Write and evaluate numerical expressions involving whole-number 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!

  • Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

      • 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

  • Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π^2).

      • 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!