Intro to simplifying square roots and cube root.

What is the square root of 18 simplified?

• 6

• √9

• 9

• 3√2

What does the index of a radical indicate?

• How many times a number is multiplied by itself under the radical

• The number of terms under the radical

• The degree of the polynomial

• The base number of the radical

How do you simplify a radical expression containing numbers?

• By finding the prime factorization

• Calculating the decimal equivalent

• Using the quadratic formula

• By dividing by the index

What is the purpose of simplifying radicals?

• To increase their value

• To convert them into integers

• To make them easier to work with

• To find the decimal equivalent

What does the factor tree help to identify in a radical?

• Prime factors

• Composite numbers

• Indices

• Decimal equivalents

What is the cube root of 54 simplified?

• 3√2

• 3√3

• 9

• 2√3

What is the simplified form of the square root of 40 with variables x^3 and y^4?

• 2x^2y^2√10

• 2x^3y^4√10

• 4x^2y^3√5

• 2xy^2√10x

How are variables treated when simplifying radicals?

• Ignored completely

• Treated as constants

• Grouped and simplified like numbers

• Only included if they are prime

What is the significance of pairing numbers or variables under a radical?

• Pairs are used to calculate the index

• Pairs can be moved outside the radical

• Pairs indicate multiplication

• Only pairs can be simplified

What is the result of simplifying the cube root of 250 with variables c^5 and d^7?

• 5c^2d^3√2

• 5cd^2 cube root of 2c^2d

• 5c^2d^3 cube root of 2

• 5cd^2√2c^2d