Square roots
What is the square root of 81?
What is 9.
What is 122?
What is 144?
Calculating the distance around a shape
What is perimeter?
List the prime factors of 12.
What is 2x3x2.
What is the square root of 256?
What is 16.
What is √232?
What is 23?
Calculating the space inside of a shape
What is area?
List the prime factors of 36.
What is 2x2x3x3.
What is the square root of 400?
What is 20.
What is √(50 x 50)?
What is 50.
When all four sides of a shape are equal
What is a perfect square?
Draw a factor tree for 45.
45
5 9
3 3
What is the square root of 676?
What is 26.
What is 342?
What is 1156.
How can we use factor trees to calculate square roots?
When the number has been broken down into prime factors, if the factors can be made into two equal groups, the number is a perfect square.
Ex: 16
2x2x2x2
4x4
Draw a factor tree and list the prime factors of 100.
100
2 50
2 25
5 5
Factors: 2x2x5x5
What is the square root of 784?
What is 28.
What is √45002?
What is 4500?
When we know the area of a square and we need to calculate the side length. The side length is the
What is a square root.
Draw a factor tree and list the factors for 256. Bonus: What is the square root of 256?
256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
Factors: 2x2x2x2x2x2x2x2
Square root: 16