Exam 11: Radical Expressions, Equations, and Functions

Solve the problem. If necessary, round to the nearest tenth. -On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 33 m long and the shadow is 23 m, how tall is the building?

Multiply and simplify. Assume no radicands were formed by raising negative numbers to even powers. -

Use rational exponents to write a single radical expression. -

Find the domain of f. -f(x) =

Simplify to the form a + bi. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain in your own words why when a is negative.

Use the laws of exponents to simplify. Write the answer with positive exponents. -

For the given function, find the indicated function value. -For g(x) = find g(3).

Multiply. Assume that no radicands were formed by raising negative numbers to even powers. -

Find the following. Assume that letters can represent any real number. -

Use a calculator to approximate to three decimal places. -

Multiply. -

Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers. -

Simplify. -

Multiply and simplify. Assume no radicands were formed by raising negative numbers to even powers. -

Multiply. Assume that no radicands were formed by raising negative numbers to even powers. -

Use the laws of exponents to simplify. Write the answer with positive exponents. -

Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers. -

Use the laws of exponents to simplify. Write the answer with positive exponents. -

Simplify. -