Exam 8: Roots and Radicals

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The following statement is false. Correct the right side to make the statement true. The following statement is false. Correct the right side to make the statement true.

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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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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.

(Essay)
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Put the radical expression into simplified form. Put the radical expression into simplified form.

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Find the root. Find the root.

(Short Answer)
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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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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.

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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.

(Essay)
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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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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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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.

(Essay)
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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.

(Essay)
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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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The number of seconds T it takes the pendulum of a grandfather clock to swing through one complete cycle is given by the formula below. The number of seconds T it takes the pendulum of a grandfather clock to swing through one complete cycle is given by the formula below.   L is the length, in feet, of the pendulum. Find how long the pendulum must be for one complete cycle to take 5 seconds by substituting 5 for T in the formula and then solving for L . Round the answer to the nearest tenth. L is the length, in feet, of the pendulum. Find how long the pendulum must be for one complete cycle to take 5 seconds by substituting 5 for T in the formula and then solving for L . Round the answer to the nearest tenth.

(Multiple Choice)
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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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Put the radical expression into simplified form. Put the radical expression into simplified form.

(Essay)
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Simplify the expression. Simplify the expression.

(Short Answer)
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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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