SOLUTION: Roots A.)Find each root - sq root 25 B) Quotient Rule for Radicals Simplify each radical. All variables represent positive real numbers. ^3sq root -27y^36 over 1000

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Question 207612: Roots
A.)Find each root

- sq root 25
B) Quotient Rule for Radicals
Simplify each radical. All variables represent positive real numbers.
^3sq root -27y^36 over 1000

C) Rational Exponents
Evaluate each expression.
(-16)^ one fourth

D)Simplify each expression. Write your answers with positive exponents. Assume that all variables represent positive real numbers.
(-27x^9)^ one third

E)Simplify each expression. Write your answers with positive exponents. Assume that all variables represent positive real numbers.
(-27x^9)^ one third
F)Adding and Subtracting Radicals
All variables in the following exercises represent positive numbers.
Simplify the sums and differences. Give exact answers.
sq root 5 - 3 sq root 5
G)Simplify each expression.
(3 - 2sq root 7)(3 + 2sq root 7)

H)Simplifying Radicals
Write each radical expression in simplified radical form.
sq root 2 over sq root 18
I)Simplify
sq root 6 over sq root 7 . sq root 14 over sq root 3

J)The Even-Root Property
Find all real solutions to each equation.
A^2 – 40 = 0
K)Equations Involving Radicals
Solve each equation and check for extraneous solutions.
3 sq root w + 1 = 6

L)Find all real or imaginary solutions to each equation. Use the method of your choice.
W^2 = -225

M)Find all real or imaginary solutions to each equation. Use the method of your choice.
sq root 7x + 29 = x + 3

N)Solve each equation by using the quadratic formula.
X^2 + 4x + 3 = 0

O)Number of Solutions
Find b^2 – 4ac and the number of real solutions to each equation
-3x^2 + 7x = 0
P)Equations Quadratic in form
X^2 + x + sq root x^2 + x - 2 = 0

Q)Find all real and imaginary solutions to each equation.
B^4 + 13b^2 + 36 = 0

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