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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E

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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B

Use property 2 of the radicals to simplify the following. Use property 2 of the radicals to simplify the following.

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E

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.   a = __________ a = __________

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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.

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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.

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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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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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Find the root. Find the root.

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

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Two children are trying to cross a stream. They want to use a log that goes from one bank to the other. If the left bank is 15 feet higher than the right bank and the stream is 20 feet wide, how long must a log be to just barely reach? Two children are trying to cross a stream. They want to use a log that goes from one bank to the other. If the left bank is 15 feet higher than the right bank and the stream is 20 feet wide, how long must a log be to just barely reach?   __________ feet __________ feet

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Assume the variable is positive, and find the root. Assume the variable is positive, and find the root.

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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.

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

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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 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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Rationalize the denominator. Give your answer in simplified form. Rationalize the denominator. Give your answer in simplified form.

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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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Assume the variable is positive, and find the root. Assume the variable is positive, and find the root.

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