# Square Roots and Cube Roots

Related Topics:
Common Core for Mathematics
More Math Lessons for Grade 8

Examples, solutions, videos and lessons to help Grade 8 students learn how to use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that &sqrt;2 is irrational

Common Core: 8.EE.2

### Suggested Learning Targets

• I can use square root and cube root symbols to represent solutions to equations of
the form x2 = p and x3 = p, where p is a positive rational number.
• I can evaluate square roots of small perfect squares.
• I can evaluate cube roots of small perfect cubes.
• I can understand that the square root of 2 is irrational.
Identify perfect squares and find square roots - 8.EE.2

Square and Cube Roots (8.EE.2)
To simplify square roots, find the perfect square factor.
To simplify cube roots, find the perfect cube factor.

Find square roots of perfect squares and perfect cubes
A square root of a number p is a number x such that x2 = p.
Note: Every positive number has two square roots. One square root is positive and the other is negative.
A cube root of a number p is a number x such that x3 = p.
Find the side lengths of a square given its area - 8.EE.2
In this lesson, you will learn how to find the side length of a square when given its area. Solve problems with squares and square roots - 8.EE.2
Examples:
1) Explain how you would find the side length of a square when the area is known. Use examples in your explanation.
2) How are 'squaring' and 'square root' related? Use examples to describe the relationship.
3) Between which two consecutive whole numbers is &sqrt;86? Explain how you know this.

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