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Question #1
Rewrite the following in simplified radical form.
Assume that all variables represent positive real numbers
3w^6 sqrt(5)
Question #2
Write the following expression in simplified radical form.
Assume that all variables represent positive real numbers
5 y^2 z^6 sqrt(3y)
Question #3
Simplify the following expression as much as possible:
Assume that all variables represent positive real numbers
14wu sqrt(2u)
Question #4
Simplify.
Assume that all variables represent positive real numbers
2 u^4 w^3 sqrt(5uw)
Question #5
Multiply.
Simplify your answer as much as possible
260 – 160 sqrt(2)
Question #6
Rationalize the denominator and simplify.
Sqrt(77) / 11
Question #7
Write in simplified radical form by rationalizing the denominator.
-37-31sqrt7
---------------94
Question #8
Solve for
, where is a real number.
(If there is more than one solution, separate them with commas.)
T = 25
Question #9
Solve for
, where
is a real number.
(If there is more than one solution, separate them with commas.)
Z= 1/2
Question #10
Solve for
:
,
where is a real number.
(If there is more than one solution, separate them with commas.)
z= 9
Question #11
For the following right triangle, find the side length
nearest tenth.
One side is 12 one side is 10 the other side is x
Assuming those are the shorter sides…
X = 15.6
Question #12
Compute the following:
. Round your answer to the
-2
Question #13
Write the following in simplified radical form.
3 3rt(2)
Question #14
Write the following expression in simplified radical form.
Assume that all of the variables in the expression represent positive real
numbers.
2 t w^2 3rt(5w^2)
Question #15
Find the roots of the quadratic equation:
.
(If there is more than one root, separate them with commas.)
U= -7, 2
Question #16
Solve:
.
(If there is more than one solution, separate them with commas.)
X= 1, 5/4
Question #17
Solve the equation
for
.
(If there is more than one solution, separate them with commas.)
W= -4, 6
Question #18
Solve
, where is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
X= 2√6, -2√6
Question #19
Solve
, where is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
X= 4, 12
Question #20
Compute the value of the discriminant and give the number of real solutions to
the quadratic equation
Discriminant: 60
Number of real solutions: 2
Question #21
Solve the following equation for
by using the quadratic formula:
.
(If there is more than one solution, separate them with commas.)
X=
Question #22
When a ball is thrown, its height in feet
after seconds is given by the equation
,
where
is the initial upwards velocity in feet per second. If
second, find all values of for which
steps. Round your answer to
feet per
feet. Do not round any intermediate
decimal places.
(If there is more than one answer, enter additional answers with the button that
says "or".)
t= ___ seconds
0.30, 0.82