Question 982372: I.Multiple Choice: Choose the correct meaning of each term.
Square of x
a.√x
b.X2
c.A number y such that y2=x
d.|x|
Nth root of x
a.The root of xn
b.A square root
c.A number y such that yn=x
d.A number y such that xn=y
Cube root of x
a.X^3
b.x/y
c.A number such that y3=x
d.A number such that x3=y
Principal square root
a.The main root
b.The negative square root of a negative number
c.The positive square root of a negative number
d.The positive square root of a positive number
Index of a radical
a.The number n in √(a^n )
b.The number n in an
c.The number n in n√a
d.The number n in √(n&a)
II.Fill in the blanks to make each statement true
1.For a= b2, ______is the square root of______.
2.The cube root of -27 is ______ because ______ is equal to -27.
3.If √(n&r)>0, r must be a/an _____ number and n must be ________ than 1.
4.When no index is indicated in a radical, then it is understood that the index is ______.
5.In radical form,〖-125〗^(1/3) is written as ______.
6.In radical form,〖81〗^□(3/2) is written as______ or _______.
7.The numerical value, if any, of 〖-512〗^□(1/3) is _____.
8.In simplest form, √45 is _____.
9.In simplest form, ∛(40 )is _____.
10.In simplest form, ∜144 is _____.
11.In simplest form, ∜9 is _____.
12.In simplest form, √(6&81) is _____.
13.In simplest form, √(72x^7 y^11 ) is _____.
14.The product of (5√2+4)(5√2-4) is _______.
15.The product of √(2^6 )∙∜4 is _______.
16.The product of ∛(16∙) √(6&2^2 ) is _______.
17.The combined form of 4√7-4√28-5√48 is _______.
18.The sum of √3+2√(1/(3 )) is _____.
19.To simplify √2/√7, multiply it by _____.
20.In simplest form, the quotient of √45/√80 = _______.
21.In simplest form, the quotient of √44/√99 = _______.
22.In simplest form, the quotient of ∛135/∛40 = _______.
23.In simplest form, the quotient of ∜(162x^6 y^7 )/█(∜(32x^8 y )@ ) = _______.
24.In simplest form, the quotient of √4/(√5-√2) = _______.
25.The value of x in equation ∛(x+1 )=3 is _______.
III.Simplify each. Assume all variables represent positive real numbers.
1.√100
2.√(5&32)
3.∛(x^6 )
4.3/√2x
5.4/∜(2x^2 )
6.(3^6)□(1/3)
7.100□(3/2)
8.〖4x〗^□(-1/2)/(4^(-2) x^(-1) )
9.(x^□(1/2) y)^3 (〖xy〗^□(1/4) )^2
10.(x^□(1/3) y^□(1/6) )(x^□(1/3) y^□(2/3) )
IV.Perform the indicated operations and simplify each. Assume all variables represent positive real numbers.
1.√11∙√11
2.√45-√75+√27
3.√72+√12-√50
4.4√2 (7√2-6√2)
5.-3√x (4√x+√(xy^4 ))
6.(4-√2)(3+√3)
7.(3√a-√b)(√a+√b)
8.∛15∙∛15∙∛15
9.√(1/2)+√(1/8)
10.7÷√2
11.(3-√8)/3
12.√6/(1+√3)
13.√15/(√5+3)
14.(-2√x)^9
15.(2√3)/(2√6-√12)
V.Find all real solutions in each equation.
1.√(x-3)+1=√(x+2)
2.1+√(x+4)=2√(x-1)
PLease answer. the sake of humanity is in your hands. God bless you.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! You show some effort, or get god to help you.
I'll be glad to check you work.
=============
Algebra comes from Al Gebra (or Al Gabra), invented by an Arab, so you might consult Allah.
Or maybe Vishnu?
|
|
|
