January 04, 2016
6.1 Roots and Radical Expressions
52 = 25
5 is a square root of 25
53 = 125
5 is a cube root of 125
54 = 625
55 = 3125
5 is a fourth root of 625
5 is a fifth root of 3125
(used when you are solving an equation)
January 04, 2016
The number under the radical
sign is the radicand. The index
gives the degree of the root.
assume both positive and
negative roots if possible...
1.) What are the real square roots
of:
None!
2.) What are the real cube roots
of:
3.) What are the real fourth roots
of:
None!
January 04, 2016
What is each real number root?
1.)
2.)
4.)
3.)
No real root!
Be very careful here!
Don't assume the square
and the square roots just
cancel out...
January 04, 2016
What is the simpler form of each radical expression?
You can ignore absolute values from the text...
Think...
what twins
make x8 ????
1.)
2.)
For variables...use
the shortcut...
exponent
3.)
4.)
Type the "4"
in first!
index
5.)
6.)
January 04, 2016
In some classes, student's grades
are adjusted to fit a new grading scale.
If a teacher used the formula
Where A represents the adjusted score, and R represents the raw
score
What raw score would a student need to earn to get a 90% as an adjusted score?
The student's raw score is an 81.
January 04, 2016
HW p. 364; 1-30 all
Ignore Absolute Value
30.) In many classes, a passing test grade is 70. Using the formula
what raw score would a student need to get a passing grade after her
score is adjusted?
,
January 04, 2016
Principal root is the positive root. All real roots are both positive and
negative roots, if possible.
The index is odd.