How do you simplify $$\text{√}a + \text{√}a$$ ?

You combine like terms: $$\text{√}a + \text{√}a = 2\text{√}a$$ .

Simplify $$2\text{√}27 + 3\text{√}3$$ .

$$2\text{√}27 + 3\text{√}3 = 9\text{√}3$$ .

What is the result of $$2\text{√}5 + 4\text{√}5$$ ?

$$2\text{√}5 + 4\text{√}5 = 6\text{√}5$$ .

How do you simplify $$-8\text{√}2 - 5\text{√}98$$ ?

First, simplify $$\text{√}98 = 7\text{√}2$$ . Then, combine: $$-8\text{√}2 - 35\text{√}2 = -43\text{√}2$$ .

Simplify $$3\text{√}2 - 3\text{√}18$$ .

$$3\text{√}18 = 3 \times 3\text{√}2 = 9\text{√}2$$ . Thus, $$3\text{√}2 - 9\text{√}2 = -6\text{√}2$$ .

What are perfect squares?

Perfect squares are numbers that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

Identify the perfect squares from the set: 4, 9, 16, 25, 36.

All numbers in this set are perfect squares.

What is the square root of 49?

The square root of 49 is 7, since $$7^2 = 49$$ .

How do you simplify $$\text{√}a^2$$ ?

$$\text{√}a^2 = a$$ , assuming a is non-negative.

What is the result of $$\text{√}x + \text{√}x$$ ?

$$\text{√}x + \text{√}x = 2\text{√}x$$ .

What is the difference between $$\text{√}a + \text{√}b$$ and $$\text{√}a - \text{√}b$$ ?

The first expression adds the two radicals, while the second subtracts $$\text{√}b$$ from $$\text{√}a$$ .

How do you combine $$\text{√}2 + 3\text{√}2$$ ?

Combine like terms: $$\text{√}2 + 3\text{√}2 = 4\text{√}2$$ .

6.4 Adding and Subtracting Radical Expressions Flashcards

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FLASHCARD QUESTION

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What is a radical expression?

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