Exam 11: Radical Expressions, Equations, and Functions

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Multiply. 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. -

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Solve. -Solve. -

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Use rational exponents to write a single radical expression. -Use rational exponents to write a single radical expression. -

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Solve. -Solve. -

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

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

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Rationalize the denominator. 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. -

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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. -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. -

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Rationalize the denominator. 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. -

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Solve. -Solve. -

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Simplify. -Simplify. -

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Rationalize the denominator. 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. -

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Multiply. 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. -

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

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Determine whether the complex number is a solution of the equation. -1 + 8i; Determine whether the complex number is a solution of the equation. -1 + 8i;   + 9x + 9 = 0  + 9x + 9 = 0

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Add or subtract and simplify. -(6 + 5i) - (-4 + i)

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Answer the question. -The cost of manufacturing clocks is given by Answer the question. -The cost of manufacturing clocks is given by   , where c is the total cost and n is the number produced. What is c when no clocks are produced? , where c is the total cost and n is the number produced. What is c when no clocks are produced?

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

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Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. -b = 1, c = Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. -b = 1, c =

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Use rational exponents to write a single radical expression. -Use rational exponents to write a single radical expression. -

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