Exam 11: Radical Expressions, Equations, and Functions

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Use what you know about factoring a difference of cubes to devise a method for rationalizing a denominator of the form Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Use what you know about factoring a difference of cubes to devise a method for rationalizing a denominator of the form

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Find the square roots. -2500

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Divide and simplify. Assume that all expressions under radicals represent positive numbers. -Divide and simplify. Assume that all expressions under radicals represent positive numbers. -

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Simplify to the form a + bi. -Simplify to the form a + bi. -

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

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Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers. -Simplify by factoring. Assume 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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Simplify to the form a + bi. -Simplify to the form a + bi. -

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

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why no assumptions need to be made regarding the numbers represented by x and y when you are simplifying the expression Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why no assumptions need to be made regarding the numbers represented by x and y when you are simplifying the expression

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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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Divide and simplify. Assume that all expressions under radicals represent positive numbers. -Divide and simplify. Assume that all expressions under radicals represent positive numbers. -

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following.

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

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Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. -a = 15, c = 25

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

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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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