**PLEASE SHOW ALL YOUR WORK FOR SOLUTION.**

1) Simplify the expression and show the check of your answer. Assume that *x* and *y* represent nonnegative real numbers.

2) Simplify the expression and show the check of your answer. Assume that *x* and *y* represent nonnegative real numbers.

3) Use radical notation to rewrite the expression. Simplify if possible:

4) Perform the indicated operations and simplify if possible:

5) Perform the indicated operations and simplify your answer.

6) Rationalize the denominator and simplify if possible:

7) Rationalize the denominator and simplify if possible:

8) Solve the equation and show the check:

9) Solve the equation and show the check:

10) An extension ladder is leaning against the side of a building. The base of the ladder is 9 feet from the base of the building, and the top of the ladder touches the building at a point that is 40 feet above the ground. How long is the ladder?

(

)

2

324

x

—

2

547

æö

ç÷

èø

–

56

7

24

63

–

4739

x

+-=

75

xx

=++

1810

196

xy

21

3

15

27

8

x

y

–

(

)

(

)

3

2

5

3

3227

+-

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