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Square and Cube Roots

Answer Keys Here

Aligned To Common Core Standard:

Grade 8 Number System - 8.EE.A.2

What are Square and Cube Roots? Your mathematics book is filled with squares and cube roots, isn’t it? But you do not have a clear idea about these concepts. Before you begin to comprehend what are square and cube roots, first you need to understand the underlying concepts in these terms. Both square and cube roots emerged from the concepts of square and cube. They are First, let’s take a look into what is a square and what is a cube? Square - Squaring is as simple as multiplying a number by itself. Written as 32. The perfect squares are those of whole numbers. For instance; 1, 4, 9, 16, and so on. Square root - Whereas the square root performs the exact inverse operation of squaring that number. Written as for example the square root of 36 is 6, which is obtained by finding the number which, when multiplied twice gives 36. In this case, it is 6. Cube - Just like squaring, cubing is multiplying the same number thrice. Written as 53. The perfect cubes are 8, 27, 64, and so on. Cube root - Cube root, on the other hand, goes the opposite direction. The cube root of 27 is 3, which means that when 3 multiplied thrice by itself makes 27.

Printable Worksheets And Lessons

Homework Sheets

Instead of just straight squares we make you work for it a bit.

  • Homework 1 - Roots of a number are equal factors of the number itself.
  • Homework 2 - We know the root number is an equal factor of the number.
  • Homework 3 - What is the side length of a square with an area of 36 ft?

Practice Worksheets

Simplifying problems in terms of i was added to this section. I have seen this standard include that skill often.

  • Practice 1 - Find the two values for √225. You will also slove basic algebra based problems.
  • Practice 2 - You will work with some advanced skills on simplifying expressions in terms of i.
  • Practice 3 - Leave your footprints on this one. You will need to reverse engineer a few of these.

Math Skill Quizzes

Each quiz covers a different skill within the standard.

  • Quiz 1 - Find the two values for √2500. This is the type of exercise you can expect here.
  • Quiz 2 - Solve for x2 = 576. You will also solve home construction related word problems.
  • Quiz 3 - Simplify in terms of i (1/2)√920. Who doesn't want to do this right?
  • Cube Root Quiz 4 - For questions 5 - 10 find the value of all the cube roots. You will begin by calculating end values.