Simplifying Radicals with Prime Factorization

What is the symbol used to represent a radical in mathematics?

• Coefficient

• Exponent

• Radical symbol

• Variable

What must not be left under a radical when simplifying?

• A variable

• A prime number

• An imperfect square

• A perfect square

What is the result of simplifying the square root of 25?

• 2.5

• 10

• 25

• 5

In the prime factorization method, what is done with a group of two factors under a square root?

• One copy is moved outside the radical

• Squared

• Added

• Multiplied

What is the simplified form of the square root of 200?

• 100

• 20

• sqrt(100)

• 10 * sqrt(2)

How many factors in a group are needed to simplify a cube root using the prime factorization method?

• Two

• Three

• Four

• Five

What remains under the radical when simplifying the cube root of 40?

• 5

• X^2

• 5X^2

• 2X

What is the simplified form of the fifth root of 64x^3y^6?

• 2y * fifth root of (2x^3)

• 4y * fifth root of (x^3)

• 2y * fifth root of (x^3)

• y * fifth root of (2x^3)

What does the index of a radical indicate?

• The coefficient of the variable

• The degree of the root

• The number of variables under the radical

• The number of times it is multiplied

Which of the following is a correct representation of a radical?

• None of the above

• Index * radicand

• Coefficient * radicand

• Variable * radicand