Simplifying Radicals and Prime Factorization

What is the square root of 25?

• 5

• 10

• 625

• 50

How do you simplify the square root of 50?

• 5 * sqrt(2)

• 25

• sqrt(25)

• 10

What is the square root of 16?

• 256

• 64

• 8

• 4

What is the simplified form of the square root of 32?

• sqrt(16)

• 16

• 4 * sqrt(2)

• 8

What does prime factorization help in simplifying radicals?

• Identifying pairs of identical factors

• Finding the largest prime number

• Calculating the square root directly

• Reducing the radical to its simplest form without calculation

How many pairs of 2 are there in the prime factorization of 32?

• 6

• 3

• 4

• 5

What stays inside the radical if it doesn't have a pair?

• The number itself

• Its square root

• Nothing

• Its prime factor

How is the square root of 200 simplified?

• 40

• sqrt(100)

• 20

• 10 * sqrt(2)

What is the result of simplifying the square root of 75?

• 15

• 5 * sqrt(3)

• sqrt(25)

• 25

Can the square root of 26 be simplified?

• No

• 2 * sqrt(13)

• sqrt(13)

• Yes