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Find the union of the sets. {e,m,p,t,y} ∪ ∅
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Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 1, Problema 34
In Exercises 33–44, add or subtract terms whenever possible. 8√5+11√5
Guida verificata passo dopo passo1
Identify the like terms in the expression. Here, both terms contain the square root of 5, so they are like terms: \(8\sqrt{5}\) and \(11\sqrt{5}\).
Since the terms are like terms, you can add their coefficients (the numbers in front of the square root) together.
Add the coefficients: \(8 + 11\) to get the new coefficient for the combined term.
Write the result as the sum of the coefficients multiplied by the common radical: \((8 + 11)\sqrt{5}\).
Simplify the expression by performing the addition inside the parentheses, resulting in a single term with the square root of 5.
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Like Terms in Algebra
Like terms are terms that have the same variable parts raised to the same powers. In expressions involving radicals, like terms have the same radicand (the number inside the square root). Only like terms can be added or subtracted by combining their coefficients.
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05:07
Simplifying Algebraic Expressions
Simplifying Radicals
Simplifying radicals involves expressing the square root in its simplest form by factoring out perfect squares. This helps identify like terms and makes addition or subtraction possible. For example, √5 is already simplified, so terms with √5 can be combined directly.
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5:48Adding & Subtracting Unlike Radicals by Simplifying
Adding and Subtracting Radical Expressions
To add or subtract radical expressions, first ensure the radicals are like terms (same radicand). Then, add or subtract their coefficients just like numerical coefficients. For example, 8√5 + 11√5 equals (8 + 11)√5 = 19√5.
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03:50Adding & Subtracting Like Radicals
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