What is the product of $$ \\sqrt{2} $$ and $$ \\sqrt{8} $$ ?

The product is $$ \\sqrt{2} \\cdot \\sqrt{8} = \\sqrt{16} = 4 $$ .

What is the simplified form of $$ 5\\sqrt{80} $$ ?

The simplified form is $$ 20\\sqrt{5} $$ .

What is the result of $$ 6\\sqrt{2} \\cdot 5\\sqrt{14} $$ ?

The result is $$ 60\\sqrt{7} $$ .

How do you simplify $$ 3\\sqrt{2} - 3\\sqrt{18} $$ ?

First, simplify $$ 3\\sqrt{18} = 3\\cdot 3\\sqrt{2} = 9\\sqrt{2} $$ . Then, $$ 3\\sqrt{2} - 9\\sqrt{2} = -6\\sqrt{2} $$ .

What is the simplified form of $$ 2\\sqrt{32} $$ ?

The simplified form is $$ 8\\sqrt{2} $$ .

What does it mean to simplify a radical?

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

What is the square root of a product?

The square root of a product is the product of the square roots. For example, $$ \\sqrt{ab} = \\sqrt{a} \\cdot \\sqrt{b} $$ .

What is the square root of $$ 25 $$ ?

The square root of $$ 25 $$ is $$ 5 $$ .

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

The result is $$ 6\\sqrt{5} $$ .

How do you express $$ 12\\sqrt{3} - 4\\sqrt{3} $$ in simplest form?

The expression simplifies to $$ 8\\sqrt{3} $$ .

What is the result of $$ 2\\sqrt{15} \\cdot 3\\sqrt{5} $$ ?

The result is $$ 6\\sqrt{75} = 30\\sqrt{3} $$ .

What is the definition of a perfect square?

A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

Combining Radicals (multiplying, adding, subtracting) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a radical in mathematics?

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2.

FLASHCARD QUESTION

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How do you multiply two radicals?

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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How do you add or subtract radicals?

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5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

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