Exam 8: Roots and Radicals

Simplify each term, if necessary, and use the distributive property to combine terms, if possible.

Assume the variable is positive, and find the root.

Use combinations of properties 1 and 2 for radicals to simplify the following expression as much as possible. Assume all variables represent positive numbers.

Simplify the radical expression as much as possible. Assume all variables represent positive numbers.

Perform the multiplication. Give your answer in simplified form for radical expressions.

Assume the variable is positive, and find the root.

Assume the variable is positive, and find the root.

Perform the multiplication. Give your answer in simplified form for radical expressions.

Simplify the radical expression as much as possible.

Simplify the radical expression as much as possible.

Put the radical expression into simplified form. Assume the variable represents a positive number.

Perform the multiplication. Give your answer in simplified form for radical expressions.

Simplify the expression.

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 4 seconds by substituting 4 for T in the formula and then solving for L . Round the answer to the nearest tenth, if necessary. __________ feet

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. y = __________

Perform the multiplication. Give your answer in simplified form for radical expressions.

Find the root. If the root does not exist as a real number, write not a real number .

Find the root.

Complete the table. Write answers as whole numbers or fractions in lowest terms.