Operations with Radicals Expressions Skill 25 ObjectivesVocabulary Students

Operations with Radicals Expressions Skill 25

Objectives/Vocabulary Students will be able to: Understand the basics of radical numbers and mathematical operations using radical numbers Key Vocabulary: Arithmetics Add, with radical numbers subtract, multiply Divide, conjugate

Radical Expressions

Binomial Radical Expressions

Add/Subtract Radical Expressions When adding or subtracting binomial radical expressions, the terms having same radical can be combined together just like the terms with a variable of same degree and then simplified. The terms having different radicals cannot be combined to simplify.

Examples: Add/Subtract the Radical Expressions

Multiply Radical Expressions

Examples: Multiply the Radical Expressions

Divide Radical Expressions When dividing radical expressions, the terms outside the radical sign are divided and the terms inside the radical sign are combined under one radical sign and then divided and simplified.

Examples: Divide the Radical Expressions

Multiply Binomial Radical Expressions When multiplying binomial radical expressions, simply multiply the terms like multiplying normal algebraic expressions.

Examples: Multiply the Binomial Radical Expressions

Examples: Write the Conjugate

Rationalize Radical Expressions If we have a radical expression in the denominator only, we multiply and divide the expression with the denominator so that a perfect square is created in the denominator and the radical remains only in the numerator then.

Examples: Rationalize the Denominator

Divide Binomial Radical Expressions When dividing binomial radical expressions, we need to remove the radical sign from the denominator which can be done by rationalizing the denominator i. e. multiplying and dividing the radical expression with the conjugate of the radical in the denominator. Conjugate - same binomial with the sign on or the radical switched.

Examples: Write the Conjugate

Examples: Rationalize the Denominator

Examples: Simplify the Radicals

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