Add, Subtract, Multiply Radicals

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a radical?
Back
A radical is an expression that includes a root, such as a square root (√) or cube root (∛).
Tags
CCSS.8.NS.A.1
2.
FLASHCARD QUESTION
Front
How do you simplify √(a*b)?
Back
√(a*b) = √a * √b, provided a and b are non-negative.
3.
FLASHCARD QUESTION
Front
What is the product of two radicals?
Back
The product of two radicals can be simplified using the property: √a * √b = √(a*b).
4.
FLASHCARD QUESTION
Front
How do you add or subtract radicals?
Back
You can only add or subtract radicals with the same index and radicand (e.g., √2 + √2 = 2√2).
5.
FLASHCARD QUESTION
Front
What is the square of a binomial (a + b)?
Back
(a + b)² = a² + 2ab + b².
Tags
CCSS.HSA.APR.C.4
6.
FLASHCARD QUESTION
Front
What is the formula for the difference of squares?
Back
a² - b² = (a + b)(a - b).
Tags
CCSS.HSA.APR.C.4
7.
FLASHCARD QUESTION
Front
How do you multiply two binomials?
Back
Use the distributive property (FOIL): (a + b)(c + d) = ac + ad + bc + bd.
Tags
CCSS.HSA.APR.A.1
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