How do you simplify $$\frac{1}{\text{sqrt}(x)}$$ ?

$$\frac{1}{\text{sqrt}(x)} = \frac{\text{sqrt}(x)}{x}$$ .

How do you simplify $$\text{sqrt}(50)$$ ?

$$\text{sqrt}(50) = \text{sqrt}(25 \times 2) = 5\text{sqrt}(2)$$ .

What is 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.

How do you express $$s^{\frac{7}{4}}s^{\frac{5}{3}}$$ in simplified radical form?

$$s^{\frac{7}{4}}s^{\frac{5}{3}} = s^{\frac{41}{12}}$$ .

What is the difference between rational and irrational numbers?

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction.

How do you simplify $$\text{sqrt}(18)$$ ?

$$\text{sqrt}(18) = \text{sqrt}(9 \times 2) = 3\text{sqrt}(2)$$ .

What is the radical form of $$x^{\frac{1}{2}}$$ ?

$$x^{\frac{1}{2}} = \text{sqrt}(x)$$ .

What is the importance of simplifying radicals in mathematics?

Simplifying radicals makes calculations easier and helps in solving equations more efficiently.

Review of Simplify Radicals Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root, cube root, etc. The most common radical is the square root.

2.

FLASHCARD QUESTION

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors from under the radical sign.

3.

FLASHCARD QUESTION

Front

What is the square root of 16?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the product property of radicals?

Back

6.

FLASHCARD QUESTION

Front

What is the quotient property of radicals?

Back

7.

FLASHCARD QUESTION

Front

Back

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