Exam 8: Roots and Radicals

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Put the radical expression into simplified form. Assume the variable represents a positive number. Put the radical expression into simplified form. Assume the variable represents a positive number.

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Simplify each term, if necessary, and use the distributive property to combine terms, if possible. Simplify each term, if necessary, and use the distributive property to combine terms, if possible.

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Solve the equation by applying the squaring property of equality. Be sure to check all solutions in the original equation. Solve the equation by applying the squaring property of equality. Be sure to check all solutions in the original equation.   y = __________ y = __________

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Find the root. Find the root.

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Simplify each term, if necessary, and then use the distributive property to combine terms, if possible. Simplify each term, if necessary, and then use the distributive property to combine terms, if possible.

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Put the radical expression into simplified form. Assume all variables represent positive numbers. Put the radical expression into simplified form. Assume all variables represent positive numbers.

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Simplify the expression. Simplify the expression.

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Perform the multiplication. Give your answer in simplified form for radical expressions. Perform the multiplication. Give your answer in simplified form for radical expressions.

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Put the radical expression into simplified form. Put the radical expression into simplified form.

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Simplify the pair of expressions. Simplify the pair of expressions.

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Assume the variable Assume the variable   and use the fact that   to find   . and use the fact that Assume the variable   and use the fact that   to find   . to find Assume the variable   and use the fact that   to find   . .

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Put the radical expression into simplified form. Put the radical expression into simplified form.

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The variable in the problem below represents a positive real number. Simplify each term, and combine, if possible. The variable in the problem below represents a positive real number. Simplify each term, and combine, if possible.

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Use property 2 of the radicals to simplify the following. Assume all variables represent positive numbers. Use property 2 of the radicals to simplify the following. Assume all variables represent positive numbers.

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Find the root. Find the root.

(Multiple Choice)
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Perform the multiplication. Give your answer in simplified form for radical expressions. Perform the multiplication. Give your answer in simplified form for radical expressions.

(Essay)
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Simplify the radical expression as much as possible. Assume all variables represent positive numbers. Simplify the radical expression as much as possible. Assume all variables represent positive numbers.

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Simplify each term, if necessary, and then use the distributive property to combine terms, if possible. Simplify each term, if necessary, and then use the distributive property to combine terms, if possible.

(Multiple Choice)
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Use combinations of properties 1 and 2 for radicals to simplify the following expression as much as possible. Assume all variables represent positive numbers. Use combinations of properties 1 and 2 for radicals to simplify the following expression as much as possible. Assume all variables represent positive numbers.

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Simplify the radical expression as much as possible. Assume the variable represents a positive number. Simplify the radical expression as much as possible. Assume the variable represents a positive number.

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