What's a Perfect Square?

What's a Perfect Square?

Note:

Anytime you square an integer, the result is a perfect square! The numbers 4, 9, 16, and 25 are just a few perfect squares, but there are infinitely more! Check out this tutorial, and then see if you can find some more perfect squares!

Keywords:

  • definition
  • perfect square
  • integer

Further Exploration

  • 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.

      • How Do You Find the Square Root of a Perfect Square?How Do You Find the Square Root of a Perfect Square?

      How Do You Find the Square Root of a Perfect Square?

      Taking the square root of a perfect square always gives you an integer. This tutorial shows you how to take the square root of 36. When you finish watching this tutorial, try taking the square root of other perfect squares like 4, 9, 25, and 144.

      • How Do You Find the Square Root of a Fraction?How Do You Find the Square Root of a Fraction?

      How Do You Find the Square Root of a Fraction?

      Trying to take the square root of a fraction? This tutorial shows you how to take the square root of a fraction involving perfect squares. Check it out!

  • Use the structure of an expression to identify ways to rewrite it.

      • How Do You Know if You Have a Difference of Squares?How Do You Know if You Have a Difference of Squares?

      How Do You Know if You Have a Difference of Squares?

      Not sure if the binomial you've factoring is a difference of squares problem? This tutorial will show you what characteristics the binomial must have in order to be a difference of squares problem. Take a look!