3) For the equation x - sqrt(x) = 0, perform the following:
a) Solve for all values of x that satisfies the equation.
b) Graph the functions y = x and y = sqrt(x) on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
c) How does the graph relate to part a?

4) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, c^2 = a^2 + b^2 where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides' measurements are 3 feet and 4 feet.

5) Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively.

6) The volume of a cube is given by V = s^3. Find the length of a side of a cube if the Volume is 729 cm3.

1. Square root 0f x-1=3
2. The square root of x3 = 8
3. The square root of x2 = x an identity (true for all values of x)?
4. V = s3. Find the length of a side of a cube if the Volume is 729 cm3.

1) How do I solve the following equations?
a)
Answer:
Please show me how you got your answer in this space.
b) .
Answer:
Please show me how you got your answer in this space.
c) .
Answer:
Please show me how you got your answer in this space.
2) Is an identity (true for all values of x)?
Answ

1. a. square root of x-2 = 1 show work
b. square root of x cubed = 27 show work
c. 3 x the square root of x squared = 9 show work
2. Is the square root of x squared = x an identity (true for all non values of x?)
Explain answer
3. For the equation x - 2 times square root of x on the same gr

Discuss any difficulties you might have with grasping the concepts used in radical expressions. How would you explain square roots, cube roots, nth roots, andradicals to a student who is having difficulty understanding these concepts? What are some limitations of square root?

Simplify the following expression: (see attachment)
Hint:
The first step is to make the radical a perfect cube (so that exponent equals index) so as to eliminate the radical from the denominator.
Note: A radical expression of index n is in simplified form if it has:
? no perfect nth powers as factors of the radicand
?

Eight small cubes are put together to form one large cube. All six sides of the larger cube are painted, the paint is allowed to dry, and then the cube is taken apart.
a) How many of the small cubes will have paint on just one side? On two sides, On three sides? On no sides?
b) Complete the following table, assuming in turn

1. When solving a rational equation, why it is ok to remove the denominator by multiplying both sides by the LCD (least common denominator)? Why can you not do the same operation when simplifying a rational expression?
2. Why are there usually two solutions in quadratic equations? Under what situation would one or more solution