Simplifying Radicals and Nth Roots Mastery

What are perfect squares?

• Numbers that can be expressed as the product of two equal integers

• Numbers that are the result of adding two prime numbers

• Numbers that have exactly three factors

• Numbers that can be divided by 2 without a remainder

What is the index in a radical expression?

• The number outside the radical sign indicating the root

• The exponent to which the radicand is raised

• The coefficient of the radicand

• The number inside the radical sign

How do you simplify the cube root of 48?

• 6 cube root of 2

• 2 cube root of 12

• 3 cube root of 8

• 4 cube root of 6

What is the cube root of 343?

• 7

• 49

• 14

• 21

How is the cube root of a negative number treated?

• As a positive real number

• As a negative real number

• As an imaginary number

• Cannot be determined

What is the fourth root of 81?

• 9

• 3

• 4

• 2

What does a negative radicand indicate when the index is even?

• The root is real and positive

• The root is real and negative

• The root is imaginary

• The root does not exist

What is the fourth root of 16?

• 4

• 16

• 2

• 8

How do you simplify a radical with a variable exponent?

• Divide the exponent by the index

• Multiply the exponent by the index

• Subtract the index from the exponent

• Add the index to the exponent

What is the result of simplifying the square root of 32 with variables?

• 4xy^4 square root of 2

• 2x^2y^4 square root of 2y

• 4x^2y^4 square root of 2y

• 4x^2y^4 square root of 2