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Common Core for Grade 8

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 *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 &sqrt;2 is irrational

Common Core: 8.EE.2

### Suggested Learning Targets

**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 x^{2} = 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 x^{3} = 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.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 8

Common Core for Mathematics

More Math Lessons for Grade 8

Common Core: 8.EE.2

- I can 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. - 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.

To simplify square roots, find the perfect square factor.

To simplify cube roots, find the perfect cube factor.

A square root of a number p is a number x such that x

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 x

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.

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.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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