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Solving Radical Equations

Test Y11 (10 problems) -- This review may be completed after working the assignments listed in the
outline.

1. Simplifying Radical Expressions

Simplify. Assume that all variables represent any real number.

2. Domain of a Radical Function

Identify the domain of each function.

3. Adding and Subtracting Radical Expressions

Add or subtract. Assume that all variables represent positive real numbers.

4. Multiplying Radical Expressions

Multiply and then simplify, if possible.
Assume that all variables represent positive real numbers.

5. Rationalizing the Denominator in a Radical Expression

Rationalize the denominator and simplify. Assume that all variables represent
positive real numbers.

6. Rationalizing Numerators and Denominators of Radical Expressions

Assume that all variables represent positive real numbers.

a. Rationalize the numerator and simplify:

b. Rationalize the denominator and simplify:

7. Using the Pythagorean Theorem

Use the Pythagorean Theorem to find the EXACT value of the hypotenuse of a right triangle if the
lengths of the legs are 2.7 and 4. Using your calculator, APPROXIMATE
this value to three decimal places (nearest thousandth).

a. EXACT:_______________ b. APPROXIMATION:________________

8. Solving Radical Equations Algebraically

Solve ALGEBRAICALLY.

9. Solving Radical Equations Graphically

Solve by a GRAPHICAL method.
Round solutions, if any, to 2 decimal places (nearest hundredth).

10. Applications with Radical Expressions

Solve. Interpret the results. Include correct units.
Round your answer to two decimal places (nearest hundredth).
The radius, r, of a right circular cylinder is given by the formula
where V is the volume of the cylinder and h is its height.
For a cylinder with a radius of 2.4 feet and height of 4 feet, find the volume of the cylinder.

Math in Action [Math 115] Test Y11 Review Answers

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Solving Radical Equations