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Roots and Radical Expressions
Multiplying and Dividing Radical Expressions
Vocabulary
Function Operations
Bonus
100
What is the square root of 225?
15
100
Simplify √20x3
2x√5x
100
The number under the radical sign
What is Radicand?
100
For f(x)=7x + 5, g(x)=x2 Find (f + g)(x)
x2 + 7x + 5
100
If an b, with a and b real numbers and n a positive integer, then what is a?
The nth root
200
What is the cube root of 0.27
0.3
200
√50x5
5x2 √2x
200
Gives the degree of the root
What is Index?
200
For f(x)=7x + 5, g(x)=x2 Find (g - f)(x)
x2 - 7x - 5
200
When a number has two real roots, the positive root is called ____.
Principle Root
300
What is the fourth root of 81?
3
300
What is simplest form?
When the problem cannot be reduced
300
Both a relation and its inverse happen to be a function
What is Inverse Function?
300
For f(x) = x2 and g(x) = x-3 Find (f of g)(-2)
25
300
What indicates principle roots?
A radical sign
400
52
25
400
Multiply √8 × √7
√56
400
Radical expressions that have the same index and radicand
What is Like Radicals?
400
For f(x) = x2 and g(x) = x-3 Find (f of g)(0)
9
400
What is another way to simplify a radical expression?
Rationalize the Denominator
500
53
125
500
Multiply and simplify ³√4 × ³√16
4
500
When you combine two functions as in the diagram
What is Composite Function?
500
For f(x) = x2 and g(x) = x-3 Find (f of g)(3.5)
0.25
500
What is 255
9765625