Simplifying Radical Expressions
Adding & Subtracting Radical Expressions
Multiplying Radical Expressions
Rational Exponents
Random Grab Bag
100
Simplify
sqrt(16x^12)
4x^6
100
Perform the operation, then write your answer in simplest radical form:
-sqrt(10) - 8sqrt(10)
-9 sqrt(10)
100
Multiply the radicals, then write your solution in simplified radical form:
sqrt(5) sqrt(50)
5 sqrt(10)
100
Express in simplest radical form:
10^(3/2)
10 sqrt(10)
100
CCTEC Trivia: What is this year's spring musical?
CHICAGO
200
Simplify:
x^5 sqrt(x^9)
x^9 sqrt(x)
200
Perform the operation, then write your answer in simplest radical form:
3sqrt(2) + sqrt(32)
7 sqrt(2)
200
Multiply the radicals, then write your solution in simplified radical form:
6sqrt(8) cdot 3sqrt(24)
144 sqrt(3)
200
Simplify:
(16^3)^(1/4)
8
200
CCTEC Trivia: What year did our full-time CCTEC building open to students.
2016
300
Simplify:
root(3)(64x^27y^29)
4x^9y^9 root(3)(y^2)
300
Which of the following cannot be combined? Why not?
2sqrt(5) + 2sqrt (7)
4root(3)(x^2y) - 7root(3)(x^2y)
5sqrt(2) + 9root(3)(2)
The following cannot be combined because they do not have the same index or they do not have the same radicand:
2sqrt(5) + 2sqrt (7)
5sqrt(2) + 9root(3)(2)
300
Multiply the radicals, then write your solution in simplified radical form:
(5-sqrt(6))(5+sqrt(6))
19
300
root(6)(3^10) cdot root(6)(3^8)
Which is equivalent?
C.
3^3
300
More Math Time! Solve using square roots.
(5x+2)^2 - 3 = 6
x = - 1, 1/5
400
Simplify:
2m^2 sqrt(24m^5n^6)
4m^4n^3sqrt(m)
400
Perform the operation indicated, then write your solution in simplified radical form:
-sqrt(175x^3) + 4xsqrt(175x)
15x sqrt(7x)
400
Multiply the radicals, then write your solution in simplified radical form:
root(3)(4a^2b^2) cdot root(3)(12ab^3)
2ab root(3)(6b^2)
400
Express in simplified radical form:
(54a^14b^6)^(1/3)
3a^4b^2 root(3)(2a^2)
400
Random Trivia: What does Harry Potter get for Christmas from Dumbledore in his first year at Hogwarts?
an invisibility cloak
500
Simplify:
w root(4)(32r16u^23w^8)
2r^4u^5w^2 root(4)(u^3)
500
Perform the operation indicated, then write your answer in simplest radical form:
4x^2 root(3)(16x^3) - x^3 root(3)(54)
5x^3 root(3)(2)
500
Multiply (distribute):
(4-x sqrt(2))^2
16-8x sqrt(2) + 2x^2
500
Simplify. Note, your answer should only have positive exponents.
(64 x^-24 y^12)^(2/3)
(16y^8)/(x^16)
500
More Math Time! Given: h(t) = - 16t2 + 48t + 160
The function is also written in the forms:
h(t) = -16(t - 5)(t + 2)
h(t) = -16(t - 1.5)2 + 196
What is the maximum height of the object?
196
Maximum at (1.5, 196)