Simplify the expression: $$\text{sqrt}(4x^2)$$

The simplified form is $$2x$$ .

Simplify the expression: $$\text{sqrt}(\frac{16}{9})$$

The simplified form is $$\frac{4}{3}$$ .

How do you simplify $$\text{sqrt}(ab)$$ ?

Using the product property, $$\text{sqrt}(ab) = \text{sqrt}(a) \times \text{sqrt}(b)$$ .

Simplify the expression: $$\text{sqrt}(92a^2b^3)$$

The simplified form is $$2ab\text{sqrt}(23b)$$ .

What is the simplified form of $$\text{sqrt}(98)$$ ?

The simplified form is $$7\text{sqrt}(2)$$ .

Simplify the expression: $$\text{sqrt}(2x^2y^3)$$

The simplified form is $$xy\text{sqrt}(2y)$$ .

What is the simplified form of $$\text{sqrt}(289c^5)$$ ?

The simplified form is $$17c^2\text{sqrt}(c)$$ .

Simplify the expression: $$\text{sqrt}(56a^2b^2)$$

The simplified form is $$2ab\text{sqrt}(14)$$ .

What is the general approach to simplifying square roots with variables?

1. Factor the expression under the square root into perfect squares and other factors. 2. Apply the product property of square roots. 3. Simplify the perfect squares.

Define a perfect square.

A perfect square is an integer that is the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Simplifying Square Roots with Variables and Exponents Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define a square root.

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, since 3 x 3 = 9.

2.

FLASHCARD QUESTION

Front

What is the square root of a variable raised to an exponent?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the product property of square roots?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the quotient property of square roots?

Back

7.

FLASHCARD QUESTION

Front

Back

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