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Questions and Answers
Simplify the expression: $5\sqrt{7} + 3\sqrt{7} - 2\sqrt{7}$
Simplify the expression: $5\sqrt{7} + 3\sqrt{7} - 2\sqrt{7}$
- $4\sqrt{7}$
- $8\sqrt{7}$
- $6\sqrt{7}$ (correct)
- $10\sqrt{7}$
The expression $4\sqrt{5} - 2\sqrt{3} + \sqrt{5}$ can be simplified to $5\sqrt{5} - 2\sqrt{3}$.
The expression $4\sqrt{5} - 2\sqrt{3} + \sqrt{5}$ can be simplified to $5\sqrt{5} - 2\sqrt{3}$.
True (A)
Simplify: $7\sqrt{11} - 4\sqrt{11} - 2\sqrt{2} + 5\sqrt{2}$
Simplify: $7\sqrt{11} - 4\sqrt{11} - 2\sqrt{2} + 5\sqrt{2}$
$3\sqrt{11}+3\sqrt{2}$
When simplifying radical expressions, you can only combine terms that have the same radical, such terms are called ______ terms.
When simplifying radical expressions, you can only combine terms that have the same radical, such terms are called ______ terms.
What is the simplified form of the expression: $3\sqrt{5} - \sqrt{2} - 5\sqrt{5} + 4\sqrt{2}$?
What is the simplified form of the expression: $3\sqrt{5} - \sqrt{2} - 5\sqrt{5} + 4\sqrt{2}$?
Flashcards
Combining Radicals
Combining Radicals
To combine or subtract radicals, they must have the same index and radicand.
Adding/Subtracting Like Radicals
Adding/Subtracting Like Radicals
Combine the coefficients of like radicals, keeping the radical part the same.
Like Radicals
Like Radicals
Radicals with the same index and radicand.
Radicand
Radicand
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Index of a Radical
Index of a Radical
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Study Notes
- Note: Adding or subtracting in algebra is only possible when dealing with similar terms.
- 12√3 + √3 = √3(12 + 4) = 16√3
- 20√2 - 5√3 - 2√3 = 20√2 - 7√3
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Description
Learn the rules for adding and subtracting terms in algebra. Understand that this operation is possible only when dealing with similar terms. Review worked examples.
