Domain of a Square Root Function
In the following problems, determine the domain of the radical functions.
Hint: To find the domain:
1) set the expression under the radical sign ≥ to zero
2) solve the inequality
3) the result will be your domain
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| 1) What is the domain of the radical function?
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| 2) What is the domain of the radical function?
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| 3) What is the domain of the radical function?
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| 4) What is the domain of the radical function?
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Simplifying Radical Expressions
In the following problems, evaluate the radical expressions.
Hint: To simplify the following expression:
1) divide p by n, this is the exponent of the variable outside the radical sign.
2) if there is a remainder, this is the new exponent of the variable under the radical sign.
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In the following problems, simplify the radical expressions. Select the simplified form from these radical expressions, and then state the letter of the correct answer.
Hint: Look for perfect square or cube factors under the radical sign.
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Product and Quotient Properties of Radicals
In the following problems, select the simplified product or quotient from these expressions, and then state the letter of the correct answer.
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Adding and Subtracting Radicals
In the following problems, find each sum or difference.
Hint: Simplify the radical signs first. To combine radical terms , they must have the same index and radicand (number under the radical sign.
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| 18) Find the sum.
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| 19) Find the difference.
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| 20) Find the difference.
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Multiplying Radicals
In the following problems, find each product.
Hint: Use the FOIL method.
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| 21) Find the product.
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| 22) Find the product.
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Rationalizing the Denominator
In the following problems, rationalize each denominator and write your answer in simplest form.
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| 23) Rationalize the denominator.
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| 24) Rationalize the denominator.
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| 25) Rationalize the denominator.
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| 26) Rationalize the denominator.
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| Solving Radical Equations
In the following problems, solve each radical equation. State the answer and if the equation has no real solution, write “no solution”.
Hint: To eliminate the radical signs, square or cube both sides of the equation. Then solve for x.
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| 27) Solve for “x”.
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| 28) Solve for “x”.
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| 29) Solve for “x”.
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| 30) Solve for “x”.
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| 31) Extended Learning
Watch the following video, then write a five-sentence paragraph summarizing the video.
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| 32) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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