Exam 11: Radical Expressions, Equations, and Functions

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. -

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

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -

Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. -a = 11, c = 16

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -

Rewrite without rational exponents, and simplify, if possible. -

Simplify. -

Express in terms of i. -

Multiply. -

Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. -a = 3, b = 4

Simplify. -

Add or subtract. Then simplify by collecting like radical terms, if possible. -

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

Use rational exponents to simplify. Write the answer in radical notation if appropriate. -

Add or subtract and simplify. -(4 - 4i) + (8 + 2i)

Multiply. -(4 - 5i)(8 + 4i)

For the given function, find the indicated function value. -For g(x) = find g(7).

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

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain in your own words why possible solutions of radical equations must be checked.

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