Understanding Squares and Square Roots

What does the superscript in a number indicate?

• Addition of the number with itself

• Multiplication of the number with itself

• Division of the number by itself

• Subtraction of the number from itself

What is the square of 5?

• 15

• 25

• 20

• 10

What is a perfect square?

• A number that is a square of a negative number

• A number that is a square of a decimal

• A number that is a square of a fraction

• A number that is a square of a whole number

What is the result when a negative number is squared?

• Zero

• The same negative number

• A positive number

• A negative number

How can you find the square root of a number using repeated subtraction?

• Subtract the number by 2 until the difference is zero

• Subtract the number from itself until the difference is zero

• Subtract successive odd numbers until the difference is zero

• Subtract successive even numbers until the difference is zero

What is the first step in finding the square root using prime factorization?

• Find the prime factors of the number

• Divide the number by 2

• Subtract the number from itself

• Multiply the number by itself

In the long division method, what do you do after finding the largest square number less than or equal to the first group?

• Divide the square number by the first group

• Multiply the square number by the first group

• Subtract the square number from the first group

• Add the square number to the first group

What is the square root of 4096 using the long division method?

• 62

• 63

• 64

• 65

What is the inverse operation of squaring a number?

• Division

• Square root

• Subtraction

• Addition

Which method involves forming pairs of prime factors to find the square root?

• Repeated subtraction

• Multiplication

• Prime factorization

• Long division