Radical Operations (simplify, add, subtract and multiply)

Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the product of \( \sqrt{10n^2} \) and \( -2\sqrt{6n} \)?
Back
The product is \( -4n\sqrt{15n} \).
2.
FLASHCARD QUESTION
Front
How do you simplify the radical expression \( 2\sqrt{56a^2b^2} \)?
Back
The simplified form is \( 4ab\sqrt{14} \).
Tags
CCSS.HSN.RN.A.2
3.
FLASHCARD QUESTION
Front
What is the simplified form of \( 2\sqrt{27} + 3\sqrt{3} \)?
Back
The simplified form is \( 9\sqrt{3} \).
4.
FLASHCARD QUESTION
Front
What is the simplified form of \( 13\sqrt{3} \)?
Back
The expression is already simplified as \( 13\sqrt{3} \).
5.
FLASHCARD QUESTION
Front
How do you simplify \( 8x^4\sqrt{x} \)?
Back
The expression is already simplified as \( 8x^4\sqrt{x} \).
6.
FLASHCARD QUESTION
Front
What is the general rule for multiplying radicals?
Back
To multiply radicals, multiply the numbers outside the radicals and the numbers inside the radicals separately.
7.
FLASHCARD QUESTION
Front
What is the process for adding or subtracting radical expressions?
Back
You can only add or subtract radical expressions if they have the same radicand (the number inside the radical).
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