Here are the essential concepts you must grasp in order to answer the question correctly.
Like Terms
Like terms are terms that have the same variable raised to the same power. In the context of this question, both terms involve the square root of 5, making them like terms. This allows for the addition or subtraction of their coefficients, which simplifies the expression.
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Coefficients
Coefficients are the numerical factors in front of variables or terms. In the expression 7√5 + 13√5, the coefficients are 7 and 13. When combining like terms, you add or subtract these coefficients while keeping the common term (√5) unchanged.
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Simplifying Expressions
Simplifying expressions involves combining like terms and reducing expressions to their simplest form. In this case, adding the coefficients of the like terms results in a more concise expression, demonstrating the process of simplification in algebra.
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