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Ch. P - Fundamental Concepts of Algebra
Blitzer - College Algebra 8th Edition
Blitzer8th EditionCollege AlgebraISBN: 9780136970514당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Blitzer 8th EditionCh. P - Fundamental Concepts of Algebra문제 75
1장, 문제 75

Add or subtract terms whenever possible. 425+3254\(\sqrt\)[5]{2} + 3\(\sqrt\)[5]{2}

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1
Identify the like terms in the expression. Both terms have the fifth root of 2, which can be written as \(4 \sqrt[5]{2}\) and \(3 \sqrt[5]{2}\).
Since the radical parts are the same (\(\sqrt[5]{2}\)), you can combine the coefficients (the numbers in front of the radicals).
Add the coefficients: \(4 + 3 = 7\).
Write the combined expression as the sum of the new coefficient and the common radical: \(7 \sqrt[5]{2}\).
This is the simplified form of the expression after combining like terms.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Like Terms

Like terms are terms that have the same variable parts raised to the same powers. In expressions involving radicals, terms with the same radicand and root index can be combined by adding or subtracting their coefficients.
추천 영상:
03:50
Adding & Subtracting Like Radicals

Radical Expressions

A radical expression involves roots, such as square roots or fifth roots. Understanding how to interpret and manipulate radicals, including recognizing when two radicals are like terms, is essential for simplifying expressions.
추천 영상:
05:45
Radical Expressions with Fractions

Simplifying Expressions

Simplifying expressions involves combining like terms and reducing expressions to their simplest form. This includes adding or subtracting coefficients of like radical terms to write the expression more concisely.
추천 영상:
05:07
Simplifying Algebraic Expressions
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