What is the simplified form of $$\text{√}28 * \text{√}3$$ ?

The simplified form is $$2\text{√}21$$ .

How do you apply the distributive property to $$6(\text{√}2 - 7)$$ ?

Using the distributive property: $$6(\text{√}2 - 7) = 6\text{√}2 - 42$$ .

How do you simplify $$\text{√}a * \text{√}b$$ when a and b are perfect squares?

If both a and b are perfect squares, then $$\text{√}a * \text{√}b = \text{√}(ab)$$ , and you can simplify further.

What is the simplified form of $$\text{√}12$$ ?

The simplified form is $$2\text{√}3$$ .

What does it mean to simplify a radical expression completely?

To simplify a radical expression completely means to express it in its simplest form, where no perfect square factors remain under the radical.

What is the value of $$\text{√}8$$ ?

The value of $$\text{√}8$$ is $$2\text{√}2$$ .

How do you combine like terms in radical expressions?

You can combine like terms in radical expressions if they have the same radicand. For example, $$3\text{√}2 + 5\text{√}2 = 8\text{√}2$$ .

What is the principle of rationalizing the denominator?

Rationalizing the denominator involves eliminating any radicals in the denominator of a fraction by multiplying the numerator and denominator by a suitable radical.

What is the simplified form of $$\text{√}50$$ ?

The simplified form is $$5\text{√}2$$ .

How do you multiply radical expressions with different radicands?

To multiply radical expressions with different radicands, multiply the numbers under the radicals and simplify if possible. For example, $$\text{√}2 * \text{√}3 = \text{√}(2*3) = \text{√}6$$ .

What is the result of $$\text{√}x^2$$ ?

The result is $$|x|$$ , which is the absolute value of x.

4.3 - Operations With Radical Expressions Flashcards

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1.

FLASHCARD QUESTION

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What is a radical expression?

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2.

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How do you simplify the product of two square roots?

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3.

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4.

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What is the distributive property in algebra?

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5.

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6.

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7.

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