How do you simplify $$\frac{\text{sqrt}(a^2b)}{c}$$ ?

You can simplify it to $$\frac{a\text{sqrt}(b)}{c}$$ .

How do you simplify $$\text{sqrt}(x^2y)$$ ?

You can simplify it to $$x\text{sqrt}(y)$$ .

What is the first step in simplifying $$\text{sqrt}(12)$$ ?

Factor 12 into its prime factors: $$12 = 4 \times 3$$ .

What is the simplified form of $$\text{sqrt}(50)$$ ?

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

How do you handle variables under a square root?

For a variable raised to an even power, you can take the square root. For example, $$\text{sqrt}(x^4) = x^2$$ .

What is the simplified form of $$\text{sqrt}(x^2y^4)$$ ?

$$\text{sqrt}(x^2y^4) = xy^2$$ .

What is the importance of simplifying radicals?

Simplifying radicals makes expressions easier to work with and understand, especially in equations and calculations.

How do you combine radicals?

You can combine radicals if they have the same index and radicand. For example, $$\text{sqrt}(2) + \text{sqrt}(2) = 2\text{sqrt}(2)$$ .

What is a radical expression?

A radical expression is an expression that contains a radical symbol, such as a square root, cube root, etc.

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 (e.g., $$\text{sqrt}(2)$$ is irrational).

Simplifying Radicals (including those with variables) 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, denoted by the symbol √.

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

How do you simplify a square root?

Back

3.

FLASHCARD QUESTION

Front

What is the square root of a variable?

Back

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

5.

FLASHCARD QUESTION

Front

What is the product property of square roots?

Back

6.

FLASHCARD QUESTION

Front

What is the quotient property of square roots?

Back

Tags

CCSS.HSN.RN.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

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