Exam 8: Roots and Radicals

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

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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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Simplify the expression. Simplify the expression.

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Simplify the expression. Simplify the expression.

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Simplify the radical expression as much as possible. Simplify the radical expression as much as possible.

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Simplify the radical expression as much as possible. Simplify the radical expression as much as possible.

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

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Use a calculator to help complete the table. If an answer needs rounding, round to the nearest thousandth. Use a calculator to help complete the table. If an answer needs rounding, round to the nearest thousandth.

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

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The sum of a number and 2 is equal to the positive square root of 8 times the number. Find the number.

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The difference of a number and 6 is equal to five times the positive square root of the number. Find the number.

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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 7 feet higher than the right bank and the stream is 24 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 7 feet higher than the right bank and the stream is 24 feet wide, how long must a log be to just barely reach?

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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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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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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 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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