Need help with radical expressions and functions

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Simplify the expression below. Assume all variables are nonnegative real numbers.:

square root of 25 y squared end root


a. 5y

b. 5 open vertical bar y close vertical bar

c. -5y

d. 5 open vertical bar y close vertical bar comma space minus 5 open vertical bar y close vertical bar



Approximate the value for the expression below. Round to three decimal places, if necessary.

square root of 18


a. 4.243

b. 9

c. 324

d. 3.240



Simplify the expression below: 

cube root of 0


a. 1

b. 3

c. 0

d. no real answer



Simplify the expression below. Assume all variables are nonnegative real numbers.: 

fourth root of negative 256 x to the power of 8 end root


a. -4x2

b. 4 open vertical bar x squared close vertical bar

c. 4 open vertical bar x squared close vertical bar

d. no real answer



Simplify the expression below. Assume all variables are nonnegative real numbers.
(Hint: Factor the polynomial).

square root of x squared plus 4 x space plus space 4 end root


open vertical bar x plus 2 x plus 2 close vertical bar

x plus 2 x plus 2

open vertical bar x plus 2 close vertical bar

x+2



Simplify the expression below. Assume all variables are nonnegative real numbers. 

fourth root of left parenthesis 3 x minus 1 right parenthesis to the power of 4 end root


a. open vertical bar 3 x minus 1 close vertical bar

b. 12x-4

c. 3x-1

d. no real number



Find f(-1) for the function f left parenthesis x right parenthesis space equals space square root of x plus 5 end root


a. 2.4

b. 2.2

c. 2

d. No real answer



Which function is shown in the graph below?


a. f left parenthesis x right parenthesis equals cube root of x plus 1

b. f left parenthesis x right parenthesis equals cube root of x plus 1 end root

c. f left parenthesis x right parenthesis equals cube root of x minus 1 end root

d. f left parenthesis x right parenthesis equals cube root of x minus 1



Simplify the expression below. Assume all variables are nonnegative real numbers.: 

cube root of negative 27 r to the power of 6 end root


a. negative 3 r cubed

b. negative 3 r squared

c. 3 open vertical bar r squared close vertical bar

d. No Real Answer




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(Top Tutor) Daniel C.
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School: UC Berkeley
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