Simplifying Radicals Quiz

What property allows the root of a product to be expressed as the product of individual roots?

• Distributive Property

• Product of Roots Property

• Quotient of Roots Property

• Exponentiation Property

Which of the following is NOT a criterion for a simplified radical expression?

• No perfect roots in the radicand

• No negative numbers in the radicand

• No fractions in the radicand

• No radicals in the numerator of a fraction

What is the simplified form of the square root of 18?

• 2√3

• 3√2

• √9 * √2

• √18

How can the square root of a fraction be simplified?

• By taking the square root of the numerator and denominator separately

• By multiplying the fraction by itself

• By adding the numerator and denominator

• By subtracting the denominator from the numerator

What is the largest perfect cube that divides evenly into 24?

• 6

• 12

• 4

• 8

How is the square root of x^8 simplified?

• x^4

• x^2

• x^6

• x^8

What is the simplified form of the cube root of y^6?

• y^6

• y^4

• y^3

• y^2

When simplifying the square root of x^3, what is the largest number less than 3 that divides by 2?

• 1

• 4

• 2

• 3

What is the simplified form of the square root of 25x^3?

• 25x^2

• 5√x^3

• x^3√5

• 5x√x

How is the cube root of x^16y^11 simplified?

• x^6y^4√xy

• x^5y^3√x^2y

• x^4y^2√x^3y

• x^5y^3√xy^2