Radicals & Conjugates Worksheets

Printable “Radical” worksheets:
Rationalizing the denominator (using radicals or conjugates)
Add & Subtract Radical Expressions
Multiply Radical Expressions
Divide Radical Expressions
Using Radicals to Solve Equations

Examples, solutions, videos, and worksheets to help Algebra II students learn how to convert expressions to simplest radical form. Understand that the product of conjugate radicals can be viewed as the difference of two squares

Radicals & Conjugates

Radicals
A radical expression is an expression that contains a radical symbol (√). The number under the radical sign is called the radicand.
Example: √9, √(x+2), √(x² + 1)

Conjugates
The conjugate of a binomial expression is formed by changing the sign between the two terms.
Example:
The conjugate of (a + b) is (a - b).
The conjugate of (√2 + 3) is (√2 - 3).

Why Use Conjugates?
Conjugates are often used to rationalize the denominator of a fraction involving radicals. This involves multiplying both the numerator and denominator by the conjugate of the denominator to eliminate the radical from the denominator.

Have a look at this video if you need to review how to Radicals & Conjugates.

• Radicals & Conjugatess

To Radicals & Conjugates of fractions, you can simplify the numerator and denominator separately. Then, simplify the whole fraction if necessary.

Have a look at this video if you need to review how to Radicals & Conjugatess of fractions.

• Simplify a square root of a rational number

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Radicals & Conjugates Worksheets.

 

More Radicals & Conjugates Worksheets

Printable
(Answers on the second page.)
Radicals & Conjugates Worksheet #1 (whole numbers)
Radicals & Conjugates Worksheet #2 (fractions)

(With step-by-step Solutions)
Radicals & Conjugates Worksheet #3
Radicals & Conjugates Worksheet #4
Radicals & Conjugates Worksheet #5

Related Lessons & Worksheets

Squares & square roots
Cubes & cube roots

Whole number exponents
Negative whole number exponents
Unit fraction exponents (positive or negative)
Fractional exponents (positive or negative)

Radicals & Conjugatess
Radicals & Conjugatess with Fractions

More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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