Add or subtract, as indicated. See Example 6. 2√3 + 5√3

검증된 단계별 안내

Identify the like terms in the expression. Here, both terms have the radical \( \sqrt{3} \), so they are like terms.

Write the expression by factoring out the common radical \( \sqrt{3} \): \( 2\sqrt{3} + 5\sqrt{3} = (2 + 5)\sqrt{3} \).

Add the coefficients of the like terms inside the parentheses: \( 2 + 5 = 7 \).

Rewrite the expression with the sum of the coefficients multiplied by the common radical: \( 7\sqrt{3} \).

This is the simplified form of the expression, combining the like radical terms.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

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주요 개념

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

Like Terms in Algebra

Like terms are terms that have the same variable parts raised to the same powers. In this question, the terms involve the same radical expression (√3), so they can be combined by adding or subtracting their coefficients.

Simplifying Radicals

A radical expression involves roots, such as square roots. Simplifying radicals means expressing them in their simplest form. Here, both terms have the same radical (√3), so no further simplification of the radical is needed before combining.

Addition and Subtraction of Radicals

You can only add or subtract radicals that have the same radicand (the number inside the root). This process is similar to combining like terms in algebra, where you add or subtract the coefficients while keeping the radical part unchanged.