Exam 8: Radical Expressions and Equations

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Simplify the radical expression. Assume that all variables under the radical represents positive values. Simplify the radical expression. Assume that all variables under the radical represents positive values.

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The time for a rock to hit the ground when it is dropped from a height of h meters is described by the equation The time for a rock to hit the ground when it is dropped from a height of h meters is described by the equation   where t is in seconds. If it takes 1.50 seconds for a rock to fall what was the height h ? Round to 2 decimal places. where t is in seconds. If it takes 1.50 seconds for a rock to fall what was the height h ? Round to 2 decimal places.

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Find the perimeter of the isosceles triangle. The sides are each Find the perimeter of the isosceles triangle. The sides are each   and the base is   . Simplify.  and the base is Find the perimeter of the isosceles triangle. The sides are each   and the base is   . Simplify.  . Simplify. Find the perimeter of the isosceles triangle. The sides are each   and the base is   . Simplify.

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

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To solve a quadratic equation by rewriting one side of the equation as a perfect square trinomial you __________ the square.

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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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Find the distance between the points Find the distance between the points   . Round to two decimal places if necessary. . Round to two decimal places if necessary.

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Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places.

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Solve the radical equation. Solve the radical equation.

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Simplify the radical expression.Assume that all variables under the radical represents positive values. Simplify the radical expression.Assume that all variables under the radical represents positive values.

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Divide and simplify. Divide and simplify.

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Solve the radical equation. Solve the radical equation.

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Solve the radical equation. Solve the radical equation.

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The area of the rectangle below is The area of the rectangle below is   . Its width is   . Find its length.  . Its width is The area of the rectangle below is   . Its width is   . Find its length.  . Find its length. The area of the rectangle below is   . Its width is   . Find its length.

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

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