Exam 8: Radical Expressions and Equations

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Solve the quadratic equation by using the square root property. Solve the quadratic equation by using the square root property.

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Multiply the radicals and simplify. Multiply the radicals and simplify.

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Rationalize the denominator and simplify. Rationalize the denominator and simplify.

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You __________ You __________   as 15.81. as 15.81.

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Is the given value of the variable a solution of the radical equation? Is the given value of the variable a solution of the radical equation?

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Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer.   for  for Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer.   for

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Solve the quadratic equation. Give both the exact solution(s) and solution(s) rounded to two decimal places. Solve the quadratic equation. Give both the exact solution(s) and solution(s) rounded to two decimal places.

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Solve the quadratic equation by using the square root property. Solve the quadratic equation by using the square root property.

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Divide and simplify. Divide and simplify.

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Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer.

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Solve the quadratic equation by using the square root property. Solve the quadratic equation by using the square root property.

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Solve the quadratic equation. Give both the exact solution(s) and solution(s) rounded to two decimal places. Solve the quadratic equation. Give both the exact solution(s) and solution(s) rounded to two decimal places.

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The quadratic formula states that the solutions to The quadratic formula states that the solutions to   are given by  are given by The quadratic formula states that the solutions to   are given by

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Solve the quadratic equation. Solve the quadratic equation.

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A radical equation has a variable expression under the radical.

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Solve the radical equation. Solve the radical equation.

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Multiply and simplify. Multiply and simplify.

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A rock is dropped from a building that is 60 meters high. The rock s height h in meters after t seconds is given by the equation A rock is dropped from a building that is 60 meters high. The rock s height h in meters after t seconds is given by the equation   . At what time is the rock at a height of 30 meters? Round the answer to two decimal places. . At what time is the rock at a height of 30 meters? Round the answer to two decimal places.

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Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values.

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The __________ property of radicals states that if a and b are positive or zero then The __________ property of radicals states that if a and b are positive or zero then   . .

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