Simplifying Radicals: Key Concepts and Techniques

What is the index of a square root if it is not explicitly stated?

• 3

• 2

• 1

• 4

Which of the following is an example of a radical?

• 8

• √4

• 4

• 2

What is the result of taking the square root of x squared?

• x/2

• x

• 2x

• x^2

How can the square root of 50 be simplified?

• 5√2

• 25√2

• 10√5

• 50√5

What is the simplified form of the square root of 3/4?

• √3/4

• 3/√4

• √3/2

• √3/√4

What is the first step in the prime factorization method?

• Find the largest perfect square

• Multiply the factors

• Find the prime factors

• Rewrite the radicand

What is the simplified form of the square root of 180 using prime factorization?

• 6√5

• 5√6

• 3√10

• 10√3

Which of the following is a perfect cube?

• 64

• 27

• 8

• 16

What is the simplified form of the cube root of 54 using the largest perfect cube method?

• 2√3

• 3√2

• 3√3

• 2√27

Which method is primarily used for simplifying radicals in trigonometry?

• Both methods

• Largest perfect square

• Neither method

• Prime factorization