Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis and...

In this exponents and radicals worksheet, students simplify 31 radical and exponent problems.  Students rationalize denominators, multiply by conjugates, use exponent rules, and evaluate exponential and radical expressions.

In a radical expressions worksheet, learners use the Product and Quotient Properties of Square Roots to simplify a variety of square roots. The worksheet begins with simple radicals, progresses to radicals involving fractions and...

In this radical worksheet, students simplify complex numbers.  They find the sum and difference of complex numbers.  This two-page worksheet contains 11 multiple-choice problems.  Answers are given on the last page.

In this radicals worksheet, students solve 10 different problems that include rationalizing the denominators in each problem. First, they rationalize the denominator. Then, students write the conjugate for each binomial. In addition,...

Stem-changing, or radical changing, verbs are fairly common in Spanish. Provide your Spanish class with this reference guide to discuss the stem changes that occurs in the yo, tú, él, ella Ud., ellos, ellas, and Uds. forms. 

Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...

Solve 10 different problems that include various rational expressions. First, learners rationalize the denominator in each set. Then, they write the conjugate for each binomial and determine the reciprocal. They also write an expression...

For this algebra worksheet, students rationalize the denominator by multiplying by the conjugate. There are 15 multiple choice questions.

Knowing more strategies is always a plus. Pupils watch an engaging video to learn additional ways to algebraically determine the limit of a function at a specified value. The video covers multiplying radical expressions by their...

In this Algebra II learning exercise, 11th graders simplify radical expressions.  The two page learning exercise contains explanation, worked example, and three practice problems.  Answers are not included. 

In this quaternions worksheet, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by doing...

In this rationalizing the denominator worksheet, students rationalize the denominator in fifteen problems.  The solutions are provided.

Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.

Full of info, this handout provides the rules, properties, and common mistakes found in an algebra course. This cheat sheet is a great resource for those hard-to-remember exponent rules and hyperbola equations, along with everything else...

Trying to find a linear transformation is like finding a needle in a haystack. The second activity in the series of 32 continues to explore the concept of linearity started in the first activity. The class explores trigonometric,...

Learners use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.

Here is a site that clearly and thoroughly explains multiplying and dividing radical expressions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...

Explore conjugates and how they are used to rationalize denominators. Assess learning with a quiz.

Explore conjugates and conjugate pairs in order to rationalize denominators. Assessment to follow tutorial.

This lesson provides practice examples that use conjugates to rationalize denominators. It is 2 of 6 in the series titled "Using Conjugates to Rationalize Denominators."

This question-response site gives information about simplifying an expression using conjugates. The Dr. first details the fundamentals of conjugates and then works several examples.

This Spanish grammar exercise provides excellent practice conjugating verbs in the past subjunctive tense in verb charts. Fifty different infinitives give the student plenty of practice with conjugations of the imperfect subjunctive....

This Spanish grammar exercise provides adequate practice conjugating verbs in the conditional tense and in the past subjunctive in sentences that contain "if" clauses. Answers may be checked and corrected.