Adding and Subtracting Radicals Explained

What must be true for two radicals to be added or subtracted?

• They must be both positive.

• They must have the same coefficient.

• They must be both negative.

• They must have the same radicand and index.

What is the prime factorization of 18?

• 3 × 6

• 2 × 3 × 3

• 2 × 9

• 2 × 2 × 3

When simplifying the square root of 18, which number stays under the radical?

• 3

• 9

• 2

• 6

What is the prime factorization of 8?

• 2 × 4

• 2 × 2 × 2

• 4 × 2

• 2 × 3 × 3

When simplifying the square root of 8, which number comes out of the radical?

• 3

• 4

• 8

• 2

What is the prime factorization of 24?

• 2 × 12

• 2 × 2 × 6

• 3 × 8

• 2 × 2 × 2 × 3

When simplifying the square root of 24, which numbers stay under the radical?

• 3 and 4

• 2 and 3

• 2 and 6

• 2 and 2

What is the simplified form of -3√18?

• -9√2

• -3√2

• -9√3

• -6√3

What is the result of combining 6√2 and -9√2?

• -3√2

• 3√2

• -15√2

• 15√2

What is the final simplified expression combining -9√2, 6√2, and -2√6?

• 3√2 - 2√6

• -15√2 - 2√6

• -3√2 - 2√6

• 15√2 - 2√6