Simplifying Square Roots Quiz

What is the first step in simplifying the square root of a number using prime factorization?

• Divide the number by 10

• Add the digits of the number

• Find two numbers that multiply to the original number

• Subtract 1 from the number

When simplifying the square root of 32, what is the result after identifying pairs of prime factors?

• 8√2

• 4√2

• 16√1

• 2√8

In the example of simplifying the square root of 48, which prime numbers are identified as pairs?

• 3 and 5

• 2 and 3

• 2 and 2

• 5 and 7

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

• 3√5

• 25√3

• 5√3

• 15√5

How do you simplify the square root of 96 using prime factorization?

• Divide by 3 repeatedly

• Identify pairs of 2s and multiply the leftovers

• Subtract 10 from the number

• Add 5 to the number

What is the simplified form of the square root of 120?

• 10√12

• 6√5

• 4√15

• 2√30

When simplifying the square root of 54, which pair of numbers is identified?

• 3 and 3

• 5 and 7

• 2 and 5

• 4 and 6

What is the simplified form of the square root of 98?

• 2√7

• 49√2

• 7√2

• 14√1

How do you simplify the square root of 80 using prime factorization?

• Identify pairs of 2s and multiply the leftovers

• Add 10 to the number

• Divide by 5 repeatedly

• Subtract 20 from the number

What is the simplified form of the square root of 216?

• 24√1

• 18√2

• 12√3

• 6√6