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• ## Related Books

### Exploring Roots

• The nth root of a number is a number that when multiplied by itself n times, is equal to the original number.
• The first step in simplifying an expression containing roots is to simplify the expression under the radical sign.
• √ is square root
• 3√ represents a cube root
• 4√ represents a fourth root
• 5√ represents a fifth root
• n√ is a radical sign that represents the nth root

### Exploring Roots

3√{ − 64} =
- 4
4√{81} =
3
Simplify 4 ·3 + 3√{125} − 4.
• 12 + 5 − 4 =
• 17 − 4 =
13
√{90 − 9} + 3√{216}
• √{81} + 6 =
• 9 + 6 =
15
√{144} =
12
3√{ − 1,000,000} =
- 100
7√{ − 1} ·(3x) − 2 =
• − 1 ·[1/(32x2)] =
− [1/(9x2)]
([4/5])2 + 4√{257 − 140} =
• [16/25] +
4
√{257 − 1} =
• [16/25] + 4√{256} =
• [16/25] + 4 =
4[16/25]
3√{9 − 10} + (3x2)0 =
• 3
√{ − 1} + 1 =
• − 1 + 1 =
0
2(√{169} ) − [1/3]b ×b2 =
• 2(13) − [1/3]b3 =
26 − [1/3]b3

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

### Exploring Roots

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• What You'll Learn and Why 0:05
• Topics Overview
• Vocabulary 0:17
• Square Root
• Roots
• The Root Symbol 2:10
• Root Symbols
• Finding Roots of a Number 2:41
• Examples
• Simplifying Expressions with Roots 4:41
• Example: Simplify the Expression
• Simplifying Expressions with Roots 5:42
• Example: Simplify the Expression
• Extra Example 1: Finding Roots of a Number 6:36
• Extra Example 2: Simplifying Expressions with Roots 7:11
• Extra Example 3: Simplifying Expressions with Roots 7:36
• Extra Example 4: Simplifying Expressions with Roots 8:34