Exam 8: Roots and Radicals

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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.   x = __________ x = __________

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All variables in the problem below represent positive real numbers. Simplify each term, and combine, if possible. All variables in the problem below represent positive real numbers. Simplify each term, and combine, if possible.

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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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Find x in the right triangle. Find x in the right triangle.

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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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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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Complete the table. If an answer needs rounding, round to the nearest thousandth. Complete the table. If an answer needs rounding, round to the nearest thousandth.

(Multiple Choice)
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From the equation, complete the given table. Round your answers to the nearest tenth if necessary. From the equation, complete the given table. Round your answers to the nearest tenth if necessary.    From the equation, complete the given table. Round your answers to the nearest tenth if necessary.

(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.

(Short Answer)
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All variables in the problem below represent positive real numbers. Simplify each term, and combine, if possible. All variables in the problem below represent positive real numbers. Simplify each term, and combine, if possible.

(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.

(Multiple Choice)
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Simplify the pair of expressions. Simplify the pair of expressions.     = __________   = __________ Simplify the pair of expressions.     = __________   = __________ = __________ Simplify the pair of expressions.     = __________   = __________ = __________

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Solve the equation by applying the squaring property of equality. Be sure to check all solutions in the original equation. If there is no solution , so indicate. Solve the equation by applying the squaring property of equality. Be sure to check all solutions in the original equation. If there is no solution , so indicate.

(Essay)
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Use property 2 of the radicals to simplify the following. Use property 2 of the radicals to simplify the following.

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Solve the equation by applying the squaring property of equality. Be sure to check all solutions in the original equation. If there is no solution , so indicate. Solve the equation by applying the squaring property of equality. Be sure to check all solutions in the original equation. If there is no solution , so indicate.

(Essay)
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Use property 2 of the radicals to simplify the following. Use property 2 of the radicals to simplify the following.

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

(Multiple Choice)
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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.

(Multiple Choice)
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Find x in the right triangle. Find x in the right triangle.

(Multiple Choice)
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