Square Roots and Radicals 12
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Lesson Summary:
In this lesson on square roots and radicals, we learn how to add and subtract higher order roots, such as cube roots and fourth roots. The key is to simplify each root first and then add or subtract like terms with the same radical part. The transcript provides numerous examples and strategies for simplifying the roots and combining terms.
Lesson Description:
Square Roots and Radicals Part 12 covers adding and subtracting higher order roots.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you add and subtract higher order roots?
- How do you add 5 * (cube root of 54) + 3 * (cube root of 250)?
- Can you add the square root of 18 and the cube root of 50?
- How do you subtract 10 * (cube root of 40) - 5 * (cube root of 625)?
- How do you subtract 8 * (fourth root of x^9) - x^2 * (fourth root of 81x)?
- How can you simplify radical expressions with fractions?
- How do you subtract (square root of 99)/5x - square root of (44/x^2)?
- How do you know when can you add or subtract radical expressions?
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Staff Review
This lesson is very similar to the previous lesson. It goes through how to simplify radical expressions and then add or subtract various like terms. However, in this lesson, the radicals are of higher roots than 2. Several good example problems are shown and all steps are explained. These are some very good practice problems for learning to simplify and combine radical expressions.
