Exploring Adding and Subtracting Radicals

What is the first step in adding or subtracting radicals?

• Combine all terms directly

• Simplify each radical individually

• Multiply the radicals

• Divide the radicals

How do you simplify the square root of 27?

• 6 times the square root of 3

• 2 times the square root of 3

• 9 times the square root of 3

• 3 times the square root of 3

When combining like terms, what must be the same?

• The variables

• The coefficients

• The radicands

• The exponents

What is the simplified form of the square root of 12?

• 2 times the square root of 3

• 6 times the square root of 3

• 4 times the square root of 3

• 3 times the square root of 3

How do you combine 3√6 and -2√6?

• 1√6

• 5√6

• 6√6

• 4√6

What is the simplified form of the square root of 8?

• 2√2

• 4√2

• 6√2

• 8√2

What is the result of combining -6√3 and -2√3?

• -8√3

• -4√3

• -2√3

• -6√3

How do you simplify the square root of 24?

• 8√6

• 6√6

• 4√6

• 2√6

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

• 3√2

• 12√2

• 6√2

• 9√2

What is the final answer when combining 2√5, -6√3, and 4√3?

• 2√5 - 2√3

• 2√5 + 10√3

• 2√5 + 2√3

• 2√5 - 10√3