Vocabulary
Radicals and Radical Functions
Rational Exponents
Adding, Subtracting, and Multiplying Radical Expressions
Potpourri
100
This is the relationship between sqrt(3)+2 and
sqrt(3)-2
What is Conjugates
100
This represents the root of:
root(5)(-32x^15y^20)
What is
-2x^3y^4
100
This is the equivalent in radical notation: 2x^(3/5)
What is
2root(5)(x^3)
100
This represents the sum of sqrt(9b^3)-sqrt(25b^3)+sqrt(49b^3)
What is
5bsqrt(b)
100
This is the simplified form of
((49c^(5/3))/(a^(-1/4)b^(5/6)))^-1
What is
(b^(5/6))/(49a^(1/4)c^(5/3)
200
This is the nonnegative number a when written as sqrt a
What is principal square root
200
This is what (-1/36)^(-1/4) simplifies to:
What is not a real number
200
This is the equivalent expression written with positive exponents: 5/(7x^(-3/4)
What is
(5x^(3/4))/7
200
This represents the sum of sqrt(28/x^2)+sqrt(7/(4x^2)
What is
(5sqrt(7))/(2x)
200
This is the midpoint between the following two points
(3/4,-1/7);(-1/4,-3/7)
What is
(1/4, -2/7)
300
This is the process of writing a radical expression as an equivalent expression but without a radical in the denominator.
What is rationalizing
300
This is the equivalent in radical notation: (x+2)^(-1/3)
What is
1/(root(3)(x+2)
300
Rational exponents can be used to simplify this expression: root(8)(x^4y^4)
What is
sqrt(xy)
300
This is the result of the following multiplication:
(root(3)a-4)(root(3)a+5)
What is
root(3)(a^2)+root(3)a-20
300
This is the solution to
2x-5sqrt(x)=3
What is 9
400
In the expression root(n)(a) , these are the names for n and a.
What are the index and radicand
400
This is the domain of g(x)=sqrt(x)-3
What is
[0,oo)
400
This can be written as a single rational expression:
sqrt(3)*root(3)(4)
What is
root(6)432
400
This is the simplified form of
(root(3)x+1)(root(3)(x^2)-root(3)x+1)
What is
x+1
400
This can be written in the form
a+bi
(4+3i)^2
What is
7+24i
500
This is the formula for the midpoint between two points.
What is
((x_1+x_2)/2,(y_1+y_2)/2)
500
This is the simplified form of root(4)(16(2y+z)^4
What is
2|2y+z|
500
This can be written as a single radical expression: root(3)(b^2)/(root(4)b
What is
root(12)(b^5)
500
This is the area of the following trapezoid. The area of a trapezoid is the average of the bases x the height.
What is: Area = 39sqrt(21) . Perimeter: 12sqrt(3)+13sqrt(7)
500
This is the solution to
sqrt((x^2-7))+3=0
What is no solution