For more information, please see full course syllabus of Pre Algebra
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For more information, please see full course syllabus of Pre Algebra
For more information, please see full course syllabus of Pre Algebra
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Exploring Roots
- The n^{th} 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 n^{th} 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/(3^{2}x^{2})] =
− [1/(9x^{2})]
([4/5])^{2} + ^{4}√{257 − 14^{0}} =
- [16/25] + ^{4}√{257 − 1} =
- [16/25] + ^{4}√{256} =
- [16/25] + 4 =
4[16/25]
^{3}√{9 − 10} + (3x^{2})^{0} =
- ^{3}√{ − 1} + 1 =
- − 1 + 1 =
0
2(√{169} ) − [1/3]b ×b^{2} =
- 2(13) − [1/3]b^{3} =
26 − [1/3]b^{3}
*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.
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
- What You'll Learn and Why
- Vocabulary
- The Root Symbol
- Finding Roots of a Number
- Simplifying Expressions with Roots
- Simplifying Expressions with Roots
- Extra Example 1: Finding Roots of a Number
- Extra Example 2: Simplifying Expressions with Roots
- Extra Example 3: Simplifying Expressions with Roots
- Extra Example 4: Simplifying Expressions with Roots
- 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
0 answers
Post by Allison Cui on July 28, 2016
you put 2/3 to the power of 2 for one question and you put 15-16 as 1, it is -1
0 answers
Post by sherman boey on August 9, 2014
dude extra example 4th is wrong.. the answer is -3.. 15-16 is -1 not 1 dude
0 answers
Post by dzung tran on March 27, 2014
I think that it should be -3 on Extra Example 4 because 15-16 would equal -1.
:)
1 answer
Last reply by: Maria Camila Bernal
Wed Mar 26, 2014 5:40 AM
Post by misrak taye on March 9, 2014
subtraction ????????????????15-16
1 answer
Last reply by: Professor Fung
Sat Jan 19, 2013 6:37 AM
Post by Rishabh Kasarla on January 17, 2013
On extra example III you wrote 2/3 squared instead of 2/3 to the third power.
1 answer
Last reply by: Jeff Mitchell
Sat Jan 8, 2011 7:48 PM
Post by Jeff Mitchell on January 8, 2011
On extra example IV, 1-16 is -1 and makes the square root -1. -1*6 =-6 and -6/2 = -3