Simplifying Radicals: Key Concepts and Techniques

Why do we need another method to solve quadratics?

• Quadratic formula is faster.

• Quadratic formula is easier.

• Factoring doesn't work for all quadratics.

• Factoring is too complicated.

What is the first step in simplifying radicals?

• Divide by 2.

• Identify perfect squares.

• Find the prime factors.

• Estimate the value.

How do you estimate the square root of 24?

• By dividing by 2.

• By multiplying by 2.

• By adding 1.

• By finding the closest perfect square.

What is the radicand?

• The number outside the radical.

• The number inside the radical.

• The square root of a number.

• The product of prime factors.

What is the simplified form of the square root of 24 using prime factorization?

• 6√2

• 2√6

• 4√3

• 3√8

Which method does the teacher prefer for simplifying radicals?

• Prime factor tree

• Finding the largest perfect square factor

• Estimating

• None of the above

What is the simplified form of the square root of 75?

• 3√5

• 4√3

• 5√3

• 6√2

What is the largest perfect square factor of 128?

• 16

• 32

• 64

• 8

What is the simplified form of the square root of 288?

• 12√2

• 14√2

• 10√2

• 16√2

What is the simplified form of the square root of 180?

• 6√5

• 8√3

• 7√4

• 5√6